Griffin also had a steal and three assists and went 10-of-19 from the field in 37 minutes to lead Los Angeles to its seventh consecutive win.
Carlos Boozer led Chicago with 24 points and 13 rebounds. Marco Belinelli added 18 and Taj Gibson scored 10.
Joakim Noah pulled the Bulls to within two points with a jumper with 22 seconds to play in the game, but Paul sank three free throws in the closing seconds to close out the scoring.
The Bulls, who had won five of six heading into the game, also closed to within 1 point of the lead with 2:44 to play in the second quarter but did not score again in the period and went to the locker room at halftime trailing 47-40.