Kuyt, who played in a Champions League final with the Reds and a World Cup final with the Oranje, retired as a professional footballer with Feyenoord in 2017.
The 41-year-old has since worked at amateur side Quick Boys, as an assistant, and Feyenoord, in their youth system, but is taking his first steps in a senior role.
A one-year contract for Kuyt was confirmed by ADO on Thursday, and he said: "ADO Den Haag is a fantastic club, and I am very excited to be here today and to start this new challenge as head coach.
"I am grateful for the warm welcome and the trust that the club have expressed in me.
"The objective and ambition of the club appeal to me enormously, and we will therefore, together with all the people at the club, ensure that we realise that ambition."
The 27-year-old Morrison, who made his debut for Jamaica in November 2020, departs the club after just five appearances.
"The roads of ADO Den Haag and Ravel Morrison will separate immediately," the club said in a statement. "ADO Den Haag and Morrison have decided to terminate the 27-year-old midfielder's contract by mutual agreement.
"Morrison signed for one season at the Cars Jeans Stadium last summer. The Jamaica international has a history with Manchester United, West Ham United and Lazio Roma, among others. ADO Den Haag thanks Morrison for his efforts and wishes him the best of luck in his further career."
Whichever club Morrison joins from hereon will be the 12th in a career.
Since he was signed by Manchester United as a talented teenager in 2010, Morrison has failed to fulfil the potential seen in him by then-manager Alex Ferguson. He did not play for the club and was eventually signed by West Ham United in 2012.
His time at West Ham came to an end in 2015 and has since gone on to play for Birmingham City, Queens Park Rangers and Cardiff City.
He made four appearances for Lazio in Serie A between 2015 and 2019, before stints at Ostersund, Sheffield United, Middleborough and ADO Den Haag.
The Royal Dutch Football Association (KNVB) announced on Friday that the season had been ended because of coronavirus lockdown measures, with no champions crowned, no teams promoted and none relegated.
Den Haag were second-bottom of the table, the same position they were in when Pardew took over as manager last December.
It was reported that Pardew was set to earn £100,000 if the club avoided relegation, but the former Newcastle United boss set the record straight on Sunday.
He said in a statement: "When I signed for ADO there was a bonus clause in my contract for avoiding relegation, however, the figure is not the one being reported by the press.
"These clauses are standard practice in the majority of managers' contracts around the world.
"It was my understanding that this clause would only be activated if we had finished the season and ADO had avoided relegation. However, on a technicality issue with regard to the way the Dutch season ended, I was informed ADO intended to pay the bonus.
"I immediately contacted the club and told them not to pay me the money and to either give it to the non-playing staff at the club or donate it to Holland's health service to help in their efforts to beat COVID-19.
"I hope that this clears up any misunderstandings caused by the press reports.
"The thoughts and prayers of myself and my family are with everyone around the world who has suffered or are suffering from this terrible virus."
