Denver's big star Jamal Murray accounted for 28 points in the match, which the team controlled for the most part.
After an even first period, Denver snatched a lead of 15 points in the second.
The Los Angeles Lakers did not get a grip on Denver.
The closest was five points behind at the beginning of the third period, but this was Denver's match.
Could sign
Nikola Jokic scored 22 points and Jerami Grant set a new personal record in the playoffs when he scored 26 points.
And at the beginning of the fourth period, with only ten minutes left to play, Denver led 97-77 and the match looked to be decided.
But then came LeBron James, 30 points in total, and his Lakers started.
With 19-2 in less than five minutes, they had a serious hang.
And just LeBron James had a chance to equalize to 101-101 with five and a half minutes left to play.
But this time he missed and Denver was able to come back in the final stages and pull away to 114-106.