Crawford went 5-for-8 from 3-point range and Matt Barnes netted 24 points for the Clippers, who won for the first time in three games.
Blake Griffin helped out with 20 points, seven rebounds and six assists.
The Thunder dropped a second straight at home despite 42 points and 10 assists from Kevin Durant.
Serge Ibaka provided 20 points and Derek Fisher added 15.
Notable deaths of 2014 [PHOTOS]
Arizona Cardinals player formally charged