The Clippers star scored 34 points, including a 20-foot jumper at the buzzer, to secure a 126-124 victory over the winless New Orleans Pelicans.
The game was the NBA Cup group-stage opener for both teams, with the Clippers improving to 3-2.
The Clippers had struggled with defensive lapses, but Kawhi Leonard's game-winning shot eased their concerns.
Whatever has been bothering the Clippers lately was eased Friday night by a game-winning shot from Kawhi Leonard at the buzzer.
Author's summary: Kawhi Leonard leads Clippers to victory.