The Clippers, who entered the fourth quarter with a 12-point lead, saw their advantage cut to two, 96-94, with 7 minutes 30 seconds left after the Suns went on a 17-7 run.
The Clippers then went on a 15-0 run to take a 111-94 lead with just under four minutes left.
The Clippers outshot the Suns from the field, 49.4% to 42.5%, and from beyond the three-point line, 43.5% to 34.5%. The Clippers also outrebounded the Suns, 50-31.
The Clippers (30-14) defeated the Suns (26-20) for the third time in three tries this season.