Jamal Murray is confident there is more to come from the Denver Nuggets after the franchise's first NBA Finals success.

The Nuggets beat the Miami Heat 94-89 on Monday to secure a 4-1 series win, ending their wait for a championship.

Nikola Jokic, who was named the Finals MVP, starred with 28 points and 16 rebounds, while Murray added 14 points, eight assists and eight rebounds.

After losing Game 2 at home, Denver bounced back with two dominant victories in Miami before rounding off their triumph back in Colorado, and Murray had few doubts the Nuggets would get the job done.

"I knew once we were healthy, we could do it," Murray told ESPN. "So this [championship] was long overdue. I think this is the first of many.

"We clearly can do it, so let's do it again."

There was a similar sentiment from Denver coach Michael Malone, who wants to turn a championship into a dynasty.

He told reporters: "Pat Riley said something many years ago. I used to have it up on my board when I was a head coach in Sacramento.

"It talked about the evolution in this game and how you go from a nobody to an upstart, and you go from an upstart to a winner, and a winner to a contender, and a contender to a champion, and the last step after a champion, is to be a dynasty.

"So we're not satisfied. We accomplished something this franchise has never done before, but we have a lot of young talented players in that locker room, and I think we just showed through 16 playoff wins what we're capable of on the biggest stage in the world."

Two-time NBA MVP Jokic was the star of the show all season for the Nuggets.

The 28-year-old tallied 600 points, 269 rebounds and 190 assists in the postseason. It is the first time any player in the history of the NBA had reached those numbers across a 20-game span (including both regular-season and postseason games).

Jokic also became the first player in NBA history to have 25+ points and 15+ rebounds on 75 per cent shooting in a championship-clinching win.

"The job is done, and we can go home now," Jokic said.