Fellow rookie Eric Bledsoe added 23 points and Mo Williams had 22 points as the Clippers rebounded from a disappointing overtime loss to New Jersey the night before in which they blew a 20-point lead.
Griffin was held to five rebounds and so remains one double-double short of Elton Brand's single-season Clippers record of 55.
Los Angeles is now 3-1 on a five-game road trip.
The Wizards, losers of 10 of their last 11 games, were led by rookies John Wall, who fired in 25 points, and Jordan Crawford, who added 16 points off the bench. Nick Young scored 15.