Cousins had 25 points and nine rebounds as the Kings (2-1) took a 56-47 halftime lead. He added six points in the third quarter when the Kings outscored Los Angeles 26-18 and took a 17-point lead into the fourth.
Isaiah Thomas had 16 points and John Salmons and Marcus Thornton added 10 each for Sacramento. Greivis Vasquez, a point guard who was acquired from New Orleans, played his first preseason game, getting two points in 11 first-quarter minutes.
Cousins was 11 of 18 from the field and 9 of 11 from the free throw line. He played 27 minutes.