The Denver turned a close contest into a runaway with strong second half and finished the game shooting 49 percent from the floor.
The two teams came into the match-up tied for the seventh and eighth seeds in the Western Conference, and the Nuggets' victory gave them sole possession of the seventh spot.
The Rockets, meanwhile, maintained a tenuous half-game lead over ninth-place Phoenix after suffering their third consecutive defeat.
Chase Budinger and Luis Scola each notched 19 points for Houston.
Celebrity Families of 2014 [PHOTOS]