The Bulls closed out a four-game road trip to open the season with a 3-1 record. Chicago will play its home opener New Year's Day against Memphis.
Chicago and Philadelphia are the only teams in the NBA not to have played a home game.
Los Angeles trailed by two after Trey Thompkins hit a 3-pointer with 9:33 to go in the fourth period but the Clippers did not score again until 5:59 remained. By that time the Bulls had raced to a 96-84 advantage.
The 10-0 run was finished off by Luol Deng's 3-point shot.
Chicago's Derrick Rose turned in a huge game with 29 points, eight rebounds and 16 assists. He hit three 3-pointers and missed just once in 11 trips to the foul line.