Granger had been in a scoring slump, managing just 20 points combined in consecutive losses to the New York Knicks. He shot 7 for 17 against the Clippers, but added eight rebounds and made all eight of his free throws.
Reserves Tyler Hansbrough, George Hill and Leandro Barbosa helped Indiana's backups outscore the Clippers' reserves 50-23. Hansbrough scored 17 points, Hill had 15 and Barbosa 12 in his first game for Indiana since being acquired from Toronto last week.
Roy Hibbert added 13 points for Indiana.
Blake Griffin had 23 points and 10 rebounds for the Clippers. Chris Paul added 16 points and eight assists.
It was a chippy game in which players had to be separated several times but no punches were thrown.
Indiana led 54-46 at halftime on the strength of 32 points from the bench. Hansbrough had 15 points and Barbosa added nine.
Los Angeles got going early in the third quarter. Griffin's two-handed jam off a lob from Paul brought the crowd to life and left the backboard shaking. Paul followed with a 3-pointer and a jumper that cut it to 56-55. The Clippers tied it at 62 on Nick Young's 3-pointer.
Hibbert had a three-point play, and Granger hit a pair of 3-pointers to give the Pacers a 71-62 lead. The Pacers held the Clippers scoreless for 4:10 during the 11-0 run.
Indiana led 78-66 at the end of the third quarter. Granger scored 10 points in the period, and the Pacers held the Clippers to 8-for-22 shooting in the quarter.
A 3-point play by Barbosa pushed Indiana's lead to 90-72 with just under 8 minutes to play. The Clippers rallied once more, but Hill's 3-pointer with just over 3 minutes left pushed Indiana's lead to 98-84.