Los Angeles has not lost in December while putting together the longest winning streak in franchise history as well as the longest in the NBA this season.
The Clippers took a 15-point lead into the final period and then produced the first eight points of the fourth quarter.
It was the first of three games Boston will play in California over the course of four days.
The Los Angeles bench delivered 54 points with Matt Barnes' 21 leading the Clippers. Blake Griffin had 17 points and eight rebounds while playing only 28 minutes and Jamal Crawford added 15 off the bench. Butler contributed 14 as the Clippers were making 47 percent of their field goal attempts.
Kevin Garnett scored 16 points in pacing the Celtics.