It was their sixth consecutive win on the road as well.
With only five games left in the regular season, the Clippers (51-26) are in fifth place in the Western Conference, only 1 1/2 games behind the second-place Houston Rockets.
The Clippers took control at the beginning Saturday night, scoring 13 unanswered points to start and going on to lead by as many as 24 points while never trailing in the game.
The Clippers outshot the Nuggets from the field, 43% to 37.6%, and from beyond the three-point line, 38.2% to 27.3%.
J.J. Redick had 25 points in 32 minutes. Chris Paul had 23 points, including making all four of his three-point attempts, and nine assists in 31 minutes.
DeAndre Jordan added 14 points, making eight of his 14 free throws, and grabbed 22 rebounds in nearly 34 minutes.
Wilson Chandler led the Nuggets (28-49) with 17 points, six rebounds and three assists.
The Nuggets are in 12th place in the West and out of playoff contention.
The Clippers return home to play the host Lakers in the second leg of back-to-back games at 6:30 p.m. Sunday.