L.A. went into the fourth quarter with a four-point lead and was able to maintain that advantage down the stretch behind a carefully executed offense by Paul.
The Bulls failed to capitalize on a Belinelli three-pointer that brought the game to within two points with just under 50 seconds left in the game.
The Bulls went on a hot streak from downtown, shooting 64 percent through the first three quarters. They finished with a 50-percent shooting night from beyond the arc, and also out-rebounded L.A. 50-42.
Joakim Noah recorded another double-double with 10 points and 11 rebounds, and Taj Gibson had a nice bounce-back game after his recent struggles, posting 10 points and six rebounds (four offensive) in just 13 minutes of playing time.
Both Luol Deng and Marco Belinelli struggled to get going offensively, shooting 21 and 27 percent, respectively. Chicago's interior defense wasn't very strong, allowing 50 points in the paint.
Tom Thibodeau only played his bench a total of 47 minutes despite their solid performance and a defensive nature that could have been used late in the game.
The Bulls' three-game winning streak was snapped, while the Clippers extended their winning streak to seven games.
Chicago will visit Philadelphia on Wednesday as they cap off their back-to-back.