The cancelation of the series comes as New Zealand enforce a mandatory 14-day self-isolation period for those entering the country from midnight on Sunday (local time) amid the global COVID-19 outbreak.
After Australia's 71-run win over New Zealand in Friday's ODI opener played without fans at the SCG, the hosts were due to face the Black Caps in Sydney (Sunday) and Hobart (March 20) for the final two 50-over fixtures.
New Zealand were also set to host a three-match T20 series, starting in Dunedin on March 24, however, the games have been called off as the Black Caps rush home.
"Arrangements are being made to fly the bulk of the squad home this evening [Saturday]," New Zealand Cricket (NZC) said in a statement.
"NZC believes both these series can be replayed in their entirety at a later and more appropriate date.
"NZC understands and supports the government’s position. This is a time of unprecedented risk and peril, and the personal health and well-being of our players is paramount."
New Zealand's border restrictions could also impact the A-League, NRL and Super Rugby competitions.
Coronavirus continues to disrupt sport across the world, with the Premier League, Serie A, Bundesliga, Ligue 1, MLS, NBA, NHL, MLB and tennis among the sports on hiatus, while the Formula One's season-opening Australian Grand Prix was cancelled on Friday.
In Australia, there have been almost 200 cases of COVID-19 with three deaths, while New Zealand are yet to record a casualty in six cases so far.
Globally, over 5,400 people have died from the virus following more than 145,000 cases.
Zimbabwe were due to play three ODIs in Australia later this year, but it has been postponed.
In a statement, Cricket Australia (CA) said it and Zimbabwe Cricket (ZC) had mutually agreed to the decision due to the short length of the series, significant biosecurity measures which would need to be in place and safety concerns.
"While we are disappointed to postpone the series, CA and ZC agree that in the best interest of players, match officials, volunteers as well as our fans, that this is the most practical and sensible decision," interim CA chief executive Nick Hockley said.
"We are committed to working with Zimbabwe Cricket on alternative dates to reschedule."
Acting ZC managing director Givemore Makoni said he was keen to see the series go ahead at another time.
"We were excited about facing Australia but, given the circumstances, deferring the tour was the only option," he said.
"We are, however, looking forward to the rescheduling of the series as soon as practically possible."
There have been more than 10.4 million confirmed cases of coronavirus worldwide, with the death toll exceeding 507,000.
The Tigers were scheduled to play in a three-match ODI series and then four Twenty20 Internationals against Ireland during a trip that was to run between May 14-29.
However, the games were already placed in doubt after the England and Wales Cricket Board announced on Friday that they will not stage any fixtures prior to May 28.
Cricket Ireland has now confirmed they will not be taking on Bangladesh as planned, with the T20 games having been scheduled to take place at venues in England.
"Once the scale of the COVID-19 pandemic was understood, and the advice of both Governments and partner boards was sought, it became increasingly unlikely that this series could proceed as scheduled," Warren Deutrom, chief executive of Cricket Ireland, said in a statement.
"We have a responsibility to protect the well-being of players, coaches, fans and the wider community, and will not hesitate to take a safety-first approach to our operations over coming months.
“We will continue monitoring the situation, and will liaise as necessary with relevant sports bodies, public health agencies and our stakeholders here and abroad, and provide further updates on the home season in due course."
The COVID-19 outbreak had already forced Bangladesh to shelve plans for a return trip to Pakistan, where they were due to play a one-off 50-over game and also the second Test of the series in Karachi.
Morgan and his team-mates are, like most other elite athletes around the globe, in a state of flux at present as the ravages of the COVID-19 pandemic have the knock-on effect of bringing sporting schedules to a halt.
The England and Wales Cricket Board has postponed the start of its domestic season until May 28 and on Tuesday announced a £61million relief package to help the game withstand the financial impact of coronavirus.
England have Test series planned against West Indies and Pakistan over the coming months, with the latter joining Australia in facing Morgan's side in white-ball series.
Morgan joked that playing before empty stands would not be much different to some of his experiences in the County Championship, but he feels televised sport could provide a rallying point for the general public.
"I've played county cricket for a long time and I've played Test cricket in Dubai and Abu Dhabi. It’s the exact same, I would say," said the 33-year-old, who also underlined his intention to skipper England at the next two T20 World Cups, even if this year's edition in Australia is postponed.
"From a very serious point of view, if medical experts came and advised us that it was okay to play behind closed doors and it was on TV, I think that would be a huge step forward for the game.
"Sport, I think, could play a huge role in uplifting the world and people's perspective on things.
"Isolation encourages idle minds and I think sport can create that theatre and level of expectation around what it's like to be outside again and be active.
"If it came to it, I think it'd be a huge step forward."
Asked whether such events would be good for morale in the country, he replied: "Yes, I think it would."
An enforced lay-off has been usefully timed in one respect for Morgan, whose wife gave birth to the couple's first child, Leo, three weeks ago.
"We've sort of been preoccupied with looking after the baby," he said. "We've been isolated for a bit longer than everyone else.
"I've been bunkered away for a while and haven't been under pressure to go off and play cricket, which is really nice.
"In between that reading some books, watching some TV shows. Sleep, but in very short periods."
Bacher, 77, went from playing for and captaining South Africa to becoming the most powerful administrator in the country by the turn of the century.
Now he believes cricket must unite behind rescue plans amid the global coronavirus crisis to avert a financial calamity, insisting safeguarding broadcast income must be the priority.
Only by putting on international matches can that be guaranteed, with Bacher urging governing bodies to be as creative and receptive to the new state of the world as needs be.
He told the Times of India: "So many of us wake up every day and hope that the virus has gone. This will not happen.
"World medical experts predict that this pandemic will last anything up to 18 months. The consequences for world cricket would be very serious, unless world cricket agrees to and allows international cricket matches to be played to empty stadiums.
"The massive global TV audience would not diminish and the income the Test-playing countries would receive from the broadcasters would allow them to survive this crisis, which is unprecedented since World War II."
Bacher has urged South Africa and India to consider switching their recently aborted ODI series to a neutral territory, such as the United Arab Emirates.
He said: "Our government medical advisers have gone public and said that the coronavirus will hit South Africa the hardest in July and August. Maybe Sourav [Ganguly, president of the Board of Control for Cricket in India] and Graeme [Smith, South Africa's director of cricket] should be looking now at possible new venues like the UAE hoping that the airline industry will be functioning in August."
The heads of all 12 full ICC members and three associate representatives dialled in for a conference call to discuss the challenges they are facing amid the coronavirus pandemic.
The men's T20 World Cup in Australia, due to start in October, and the women's 2021 Cricket World Cup are to go ahead as planned as it stands.
However, the situation will continue to be monitored and the ICC Future Tours Programme will be reviewed through to 2023.
The ICC revealed that the future of the World Test Championship and the men's Cricket World Cup Super League will be discussed at a later date.
Cricket Australia chief executive Kevin Roberts said: "Cricket Australia is working closely with the ICC, the Local Organising Committee and the Australian government so we have a comprehensive understanding of exactly what it will take to be able to play the T20 World Cup 2020 in October in Australia as planned.
"We are also jointly exploring all other options in relation to staging the event and will take the right decisions at the right time so we can host a wonderful celebration of the sport and keep everyone involved safe and well."
ICC chief executive Manu Sawhney said: "I am grateful to my fellow CEOs for their clear commitment to a unified approach to steering cricket through this pandemic.
"We will work in partnership for the best outcomes for the sport in relation to both ICC events and bilateral cricket.
"We agreed on the importance of taking well informed, responsible decisions in relation to the resumption of international cricket.
"The complexities involved in being able to stage ICC global events are extensive to ensure we protect the health and safety of everyone involved and they will be carefully considered before any decisions are arrived at in the best interests of the game."
Speaking to the media on Friday, CA chief executive Kevin Roberts predicted the governing body stands to miss out on 80million Australian dollars due to the potential changes caused by the coronavirus pandemic.
Admitting there is a “very high risk” of the global T20 tournament being pushed back from the original plan of October and November this year, Roberts outlined the expected missed income due to such a delay.
However, the bigger blow is a home summer without any fans present at international fixtures, while there is also the extra cost of the biosecurity measures required to host opposing teams.
"The likelihood of significant crowds is very slim - ordinarily that would deliver well over $50m revenue to CA," Roberts told reporters.
"The T20 World Cup is a big question and that's a factor of perhaps $20m. We have been hopeful all along that it could be staged in October-November, but you would have to say there's a very high risk about the prospect of that happening.
"And it's likely that our biosecurity measures that we need to put in place to deliver the season will cost in the order of $10m."
Australia are due to host Zimbabwe in one-day internationals in August, then West Indies arrive for T20 games in October. As for Tests, Afghanistan are due to play one in Perth in November, followed by a four-match series against India, who complete their tour with three ODIs in January.
New Zealand are the final visitors of a packed schedule, making the short trip for three one-dayers and a one-off T20 early next year.
On the recently released schedule, Roberts remained cautiously optimistic, adding: “We're very optimistic that we will be able to stage the India men's tour and the other inbound tours for the season.
"But we're realistic enough to know they will look very different to a normal summer. We have been forced to effectively plan for the worst and hope for the best."
The governing body revealed it was making 14 per cent of its workforce redundant and Australia A tours would not take place this season as part of its cost-cutting measures.
CA has already released a packed home schedule for the international teams, while it also expects top-flight domestic cricket to be unaffected having announced the Big Bash League will run in its entirety.
"We recognise that this is a difficult time for Cricket Australia employees, particularly for those staff members affected by these redundancies and their families," CA chairman Earl Eddings said in a statement.
"However, our responsibility is clear: to navigate a path for cricket through this period of uncertainty and disruption to ensure we come out the other side sustainable in the short term and prosperous in the long term.
"Throughout COVID-19, the need to work closely with the cricket community and to move quickly as circumstances have changed has never been more important.
"With increasing clarity about the impact of COVID-19, we have managed the financial impact on our organisation, our people, our partners and players."
Eddings has also already said it appears "unrealistic" for the T20 World Cup to take place in Australia later this year as planned because of the COVID-19 crisis.
President Cyril Ramaphosa has banned all public gatherings of 100 people or more and imposed strict border controls after the number of confirmed cases in the country reached 64.
As such, CSA has cancelled all forms of cricket, from junior and amateur level up to first-class matches.
Dr Jacques Faul, acting chief executive of the governing body, said in a statement: "We at CSA take this pronouncement by the president and the cabinet very seriously and we will most certainly use our leverage to ensure that we minimise the impact of the virus in our spaces.
"Consequently and during this time of absolute caution and surveillance, we would like to call upon all our members and affiliates to desist from taking part in any cricket related gatherings and other transversal events that will include the congregation of large numbers of people and/or up to 100 people".
The senior South Africa men's team is not due to play again until a tour of the West Indies in late July. Their ODI series against India this month was postponed.
The Proteas' tour of India in March was cut short due to the proliferation of COVID-19 and all forms of cricket in South Africa were cancelled for 60 days on March 16.
Australia's visit to face the women's team was called off, while trips for the men to Sri Lanka in June and the West Indies in July could be in jeopardy if the situation has not improved six weeks prior to the start of those respective tours.
However, CSA chief executive Jacques Faul does not anticipate the salaries of players to be impacted in the short term, though the pot for future payments may have to be reduced.
"For now we've budgeted for the amount. It's a centralised system so both the Proteas and the franchise players have been budgeted for and we have enough to see through the next season," said Faul during a conference call.
"The players will lose out on match fees and win bonuses. If these tours are rescheduled they'll get the money. In the long term even if we cover this season we have to look at what it's going to be post this season and the financial impact of that and how much will be available to contract players.
"We've got to crunch the numbers first and experience the total effect of COVID-19, but it is a possibility the players will be receiving less of a player payment pool.
"I cannot see anyone for now getting less money than they're contracted for, but in future the allocation going to players I can see that being less."
Graeme Smith signed a three-month contract as director of cricket in December and Faul stated clarity on the former captain's tenure will be provided next week.
"We're in final negotiations with Graeme there will be an announcement next week," he said.
"We're at an advanced stage of the negotiations and hopefully we can make an announcement next week."
It has been reported that the new competition could be scrapped less than three months before the inaugural tournament is due to start.
The ECB on Friday announced there will be no professional cricket in England or Wales until at least July 1 amid the COVID-19 pandemic.
International stars are due to fly in for from various parts of the world for The Hundred, which is scheduled to get under way on July 17.
While there is uncertainty over whether the competition will take place this year, Harrison says it must not be discarded.
"If anything this crisis and the implication long term or medium term, the case for The Hundred is even more important," he told the BBC.
"The Hundred is a profit centre for the game of cricket in this country, it will generate really important commercial value for the game, and help us achieve the second of our three priorities which is keeping the lights on through the network – making sure county cricket is really healthy and strong long into the future.
"And it will help broaden the audience for the game. There will be a huge clamour for audience coming out of this crisis, for all sport.
"I don't think this in any way dilutes the case for The Hundred, it absolutely accelerates it and makes it something cricket needs to get behind.
"We were starting from a position of strength – 180,000 tickets were sold – the quickest sale of cricket other than World Cup cricket that we've seen, so we've got to put the context of the last couple of years into a very different light.
"They are all decisions we will make but I am absolutely committed, as I think the game is, the first-class counties, they understand the importance of this competition to the future of the game and how it will help us achieve stability for everything the game has cared about for hundreds of years – that's super important to us."
Harrison also revealed there have been "multiple offers" from other countries, including Australia and New Zealand, to help finish the domestic season.
ECB chief executive officer Tom Harrison on Tuesday warned the governing body faces the biggest challenge in its history with the United Kingdom in lockdown.
Around £40m has been made available immediately as first-class counties and local cricket boards suffer from the financial impact of COVID-19, while around a further £21m will follow in interest-free loans for recreational clubs in a bid to ensure cricket can survive at all levels.
The start of the county season has already been delayed by six weeks until May 28, but there are fears that no play will be possible at all.
Alternatively, England's Test and limited-overs sides could play at the same time to cram in fixtures later in the season, while the inaugural edition of The Hundred may be postponed until next year or staged behind closed doors.
Harrison also confirmed that England players with central contracts will not be asked to take a pay cut or furloughed.
He said in a statement: "It is no exaggeration to say this is the biggest challenge the ECB has faced in its history.
"We are working around the clock to understand the impact on the game and we have taken these short-term steps to help counties and clubs get through the immediate impact."
Harrison added: "This is a real hammer blow to our plans. Our season is massively under threat now. It's an incredibly difficult time for the country and the game.
"Everyone will be impacted. Right now we are addressing the short term. There's more pain ahead if we lose a substantial portion of the season. We are building scenarios where we can take further steps as needed. We don't think this will be the end of it.
"We won't be playing until we know it is safe for players and eventually fans. We will then be prioritising the most valuable forms of the game: first international cricket, then the Blast and maybe The Hundred as and when we get there.
"This money - £40million in cash for immediate and then £20million in interest-free loans - is to give certainty in these extremely difficult times. It's to keep the lights on."
Having already revealed this week that they will provide a £61million support package to help ease the financial issues caused by the COVID-19 crisis, the ECB announced on Wednesday measures to reduce employee salaries as they aim to protect jobs in the long term.
Chief executive Tom Harrison has agreed to take a 25 per cent cut, while members of the executive management and team board will see their wages lowered by 20 per cent.
A report by ESPNcricinfo earlier in the day suggested the England squad had so far declined an invitation to follow suit, though all-rounder Ben Stokes called the story “utter lies" on Twitter.
In a statement, the Professional Cricketers' Association (PCA) said discussions for both the men's and women's team continue with the ECB over "all aspects of the game", including contracts.
"Regarding the England players, both men and women, separate and ongoing discussions are taking place between the ECB and the management boards of both the Team England Player Partnership (TEPP) and the England Women's Player Partnership (EWPP), which respectively represent these players," the statement read.
"Contrary to media speculation in communication this week, the ECB confirmed to centrally contracted players that there would not be any demands placed on England players to take any wage reductions to their central contracts.
"However, the England men's players through TEPP and the England women's players through EWPP have been and will continue to be in regular communication with the ECB.
"They will be discussing all aspects of the game that the ECB and the players are currently facing and most importantly how the players can best support their employers, the game and the country in the short, medium and long term. These issues shall also include the wellbeing of the entire cricket family, the playing of the game and the players' contracts."
Limited-overs captain Eoin Morgan made clear he is “extremely willing to help” amid the global crisis, with the English season not scheduled to start until May 28 at the earliest.
"In the extremely uncertain times at the moment where nobody seems to have any answers about the actual impact it will have on international cricket, English cricket, county cricket - I'm open to absolutely everything," Morgan said.
"I'm very aware of how serious the situation is, I'm very aware that everybody will be affected from top to toe within the game and every sport, so I'm open to helping when and where I can."
The International Cricket Council (ICC) gave its approval amid a raft of interim changes to regulations in the wake of the COVID-19 pandemic hitting sport.
Rules on kit sponsorship have also been relaxed for 12 months, allowing teams to bring in extra revenue through placing a logo on the chest of their Test shirt and sweater.
There has been no international cricket since March due to the health crisis and the global governing body is keen to mitigate risks posed by the virus, protecting the safety of players and match officials.
Bowlers traditionally apply saliva to the ball to make it swing, but they will have to rely on sweat when the sport returns, with the use of any artificial substance already outlawed.
The saliva ban was passed despite a number of players, including former Australia captain Steve Smith, suggesting it would give batsmen an advantage.
Repeatedly breaching the new rule could result in teams receiving a five-run penalty.
An ICC statement read: "Players will not be permitted to use saliva to shine the ball. If a player does apply saliva to the ball, the umpires will manage the situation with some leniency during an initial period of adjustment for the players, but subsequent instances will result in the team receiving a warning.
"A team can be issued up to two warnings per innings but repeated use of saliva on the ball will result in a five-run penalty to the batting side.
"Whenever saliva is applied to the ball, the umpires will be instructed to clean the ball before play recommences."
Among the other changes will be the introduction of coronavirus replacements for Tests, but not Twenty20 internationals or ODIs.
If a player displays symptoms of COVID-19 during a Test series, teams will be allowed to replace them with "the nearest like-for-like replacement".
The ICC has also removed the requirement for a neutral umpire in all formats, due to restrictions on international travel.
With this perhaps leading to the use of officials with less international experience, an additional unsuccessful DRS review will be granted.
"This will increase the number of unsuccessful appeals per innings for each team to three for Tests and two for the white-ball formats," said the ICC.
"The ICC cricket operations team will support match referees when processing code of conduct breaches, and a neutral elite panel match referee will conduct any hearing remotely via video link."
Australia is due to host the men's T20 competition between October 18 and November 15 but the status of the tournament remains unclear due to the ongoing coronavirus pandemic, while the women's 50-over event is slated to take place in New Zealand from February 6 to March 7 next year.
Last month, the ICC denied reports a decision had been taken to move the T20 World Cup back to next year, although Cricket Australia said it was braced for the postponement.
Following an ICC Board meeting on Wednesday, the governing body said it will "continue to assess and evaluate the rapidly changing public health situation caused by COVID-19 working with key stakeholders including governments to explore how the events can be staged to protect the health and safety of everyone involved."
ICC chief executive Manu Sawhney said: "The situation surrounding the global pandemic is evolving rapidly and we want to give ourselves the best possible opportunity to make the right decision for the whole sport.
"The health and well-being of everyone involved is our priority and other considerations fall out from that.
"We will only get one chance to make this decision and it needs to be the right one and as such we will continue to consult with our Members, broadcasters, partners, governments and players and to ensure that we make a well informed decision."
The Board of Control for Cricket in India (BCCI) released a statement on Friday confirming the team's withdrawal.
It comes after Sri Lanka Cricket had already announced the cancellation of the tour, which was set to include three ODIs and three Twenty20 matches.
India were scheduled to travel to Sri Lanka on June 24 and then to Zimbabwe for a three-match ODI series starting in August.
A BCCI statement added: "The BCCI is determined to take steps towards the resumption of international and domestic cricket, but it will not rush into any decision that will jeopardise the efforts put in by the central and state governments and several other respective agencies in containing the spread of the coronavirus.
"The office-bearers have been taking note of advisories issued by the government of India and the board is committed to fully comply with the restrictions imposed and guidelines issued. The BCCI will continue to study and evaluate the changing situation."
The three ODIs and three Twenty20 matches that had been billed could now take place in August, according to reports.
Confirmation of the matches in June and July being called off came from Sri Lanka Cricket (SLC), with the national board citing coronavirus concerns as the reason.
An SLC statement read: "The Board of Control for Cricket in India (BCCI) informed Sri Lanka Cricket that due to the prevailing circumstances revolving around COVID-19 pandemic, the cricket series, which included three ODIs and three T20i matches will not be feasible."
SLC quoted a message it had received from the BCCI, confirming a wish to abide by cricket's future tours programme (FTP), provided health assurances have been received.
That BCCI message said it would need "to seek the advice from government of India and the health regulatory authorities before taking any decision for the resumption of cricket".
According to Sri Lankan newspaper The Island, India would be prepared to tour in August if they obtain governmental permission to make the trip.
Bangladesh are due to tour Sri Lanka in July and August for a three-Test series, but the Ceylon Daily News this week reported those matches were in doubt.
It quoted Bangladesh Cricket Board director Akram Khan as saying the "chances are very slim" of the tour going ahead in its current calendar slot.
The Black Caps were scheduled to visit in June and early July, playing a trio of Twenty20 fixtures in Bready before a three-match one-day series at Stormont.
A further two T20 contests were due to take place against Pakistan, listed for July 12 and 14 in Malahide, but those will also not go ahead as originally planned.
The latest update from Cricket Ireland follows on from the cancellation of the three ODIs against Bangladesh in May, though chief executive Warren Deutrom revealed there was no other option in the face of an ongoing global health crisis.
"We deeply regret that we can’t provide any international cricket at home to our fans this year, but we were always up against it with our entire home international programme coming in the first half of the season,” Deutrom said in a statement.
"We want to extend once again our sincere thanks to all those that worked so hard to facilitate what would have been 15 matches across seven venues over three months in Northern Ireland, Republic of Ireland and England.”
New Zealand Cricket chief executive David White remains hopeful the tour can be rearranged for a later date, adding: “I know our players, support staff and Black Caps fans were very much looking forward to the upcoming visit and are disappointed this decision needed to be taken."
Ireland are also set to travel to England for three one-dayers in September. It is possible that series is moved from the original dates, Cricket Ireland confirmed, with discussions still ongoing.
The explosive batsman understands the importance of the revenue generated from international matches and a crowded schedule is likely if planned series' and tournaments in 2020 are to be salvaged.
Buttler believes players will be flexible in the instance of an intense run of fixtures, even if it meant days where there were multiple matches taking place.
He also thinks there will be a surge in fan interest after the break in sport, ensuring venues would sell out for games in quick succession.
"I think we have to be open to absolutely everything," Cricket World Cup winner Buttler said to talkSPORT. "It's so difficult to plan anything because everyone is in limbo with all things going on.
"International cricket is going to be vital to the game and the revenue that comes into the game.
"If we can get any [cricket played], or as much as we can, if that means two games in the same day, then we have to be open to that.
"Everyone who is really missing their sport, hopefully when this is all over we will all appreciate it even more and want to flock to the grounds to all the different sports to watch the games.
"I'm sure you could fill up two grounds if you had two teams playing on the same day."
Buttler is in the process of auctioning off the shirt he was wearing when he sealed England's historic World Cup final win over New Zealand.
The 29-year-old was wearing the shirt, which has been signed by his team-mates, when he ran Martin Guptill out to conclude a dramatic Super Over at Lord's last July.
It will provide much-needed funds for the Royal Brompton and Harefield Hospitals Charity, which launched an emergency appeal to provide life-saving equipment for COVID-19 sufferers.
The highest bid now stands at £65,800, delighting Buttler, who added: "I'm auctioning off my World Cup shirt and it's obviously gone way better than I thought it would already.
"It’s an amazing amount of money. The charity that supports the hospitals started an emergency fund to buy emergency equipment they need now because of the increase in patients due to the outbreak.
"We thought that auctioning the shirt would be a great way to raise money for that."
Wicketkeeper-batsman Buttler drew bids in excess of £60,000 on eBay, having put his shirt up for sale to raise funds to help those affected by the coronavirus crisis on Tuesday.
The highest bidder will provide much-needed funds for the Royal Brompton and Harefield Hospitals Charity, which last week launched an emergency appeal to provide life-saving equipment for people suffering from COVID-19.
World heavyweight boxing champion Joshua responded to Buttler's social media promotion of the auction – which ends next Tuesday – by vowing to make a bid.
Buttler was wearing the shirt, which has been signed by his team-mates, when he ran Martin Guptill out off the final ball of a dramatic Super Over at Lord's last July to secure a first World Cup triumph for the hosts.