Durant was 5-of-6 from the field and scored 13 points in the fourth quarter in the victory, which improved the Thunder's NBA-best record to 33-9.
Russell Westbrook added 26 points and six assists to the Thunder offense. Serge Ibaka contributed 17 points and nine rebounds.
The Thunder led 49-47 at halftime and began the third quarter with a 13-4 run. They outscored Los Angeles by 10 points in the period and built up a cushion that enabled them to withstand a fourth quarter in which they were outscored 29-27.