The Clippers led by as many as 10 points in the third quarter, but the Kings tied the score at 84 with nine minutes left after Andre Miller made a driving layup.
The Clippers used a 14-4 run to take an 11-point lead, 101-90, with 5 minutes 30 seconds left in the fourth quarter. The Kings could get no closer than seven points, 108-101, with 1:31 left.
The game was surprisingly close considering the Kings were playing without DeMarcus Cousins (strained right calf) and Darren Collison (core muscle injury). The Clippers, however, were short-handed too, missing Jamal Crawford (bruised right calf) and Matt Barnes (sore right hamstring).
Chris Paul led the Clippers with 30 points on 13-for-20 shooting and 11 assists. J.J. Redick had 27 points. Blake Griffin, in his third game back after missing 15 because of a staph infection in his right elbow, had 19 points, 10 rebounds and five assists. And Hedo Turkoglu, in a rare start, had an impressive 19 points on seven-for-12 shooting, including five three-pointers.
The Kings were led by Rudy Gay, who played through a left patellar strain and finished with 23 points, six rebounds and four assists.
The Clippers (44-25) are in fifth place in the Western Conference, 21 games ahead of the 13th-place Kings (22-45).
The Kings shot more than twice as many free throws as the Clippers (13), making 26 of their 32, and they outrebounded the Clippers, 44-36. But the Clippers made 17 three-pointers compared to the Kings' three.
It was the Clippers' 16th win over the Kings in the teams' last 19 games, including their third win in their four meetings this season.
The Clippers now have Thursday off before hosting the Washington Wizards on Friday.