The Dodgers broke open the game with four runs in the top of the sixth. The game was then delayed 1 hour, 35 minutes before it was called.
Matt Kemp had a triple and two RBIs for the Dodgers, who played without outfielder Yasiel Puig and second baseman Dee Gordon, both of whom sustained hip injuries Saturday.
Chone Figgins singled and also scored a run filling in for Gordon at the top of the lineup.
Rain started falling in the second inning and was steady for the rest of the afternoon. The moisture appeared to affect Kershaw (5-2) when he faced Brandon Barnes in the bottom of the third. He threw one pitch high to the backstop and then bounced the next one in front of the plate.