Denver took the lead for good early in the third quarter and was up by as many as 14 points midway through the fourth.
LeBron James, who missed the morning shoot-around because of a cold, led Cleveland with 22 points.
The Nuggets limped into the game after losing seven of eight and were coming off Sunday's defeat in New York, in which they made one field goal in the second quarter.
Denver looked like a different team Monday, placing five players in double figures. Leading 90-84, the Nuggets scored eight straight points and went ahead 98-84 on Lawson's layup with 6:01 to play.
Cleveland, which hit its first 11 three-pointers Saturday against Atlanta, failed to reach 100 points for the first time in six games.
Dallas 107, at Charlotte 80:
Phoenix 118, at Boston 114:
Miami 95, at New Jersey 83:
Orlando 107, at Detroit 93:
at Memphis 119, Houston 93: Mike Conley scored 19 points as the