The Dodgers' third victory in a row clinched a winning season for the second straight year under manager Don Mattingly.
Kershaw (13-9) allowed five hits, struck out 10 and walked two. He helped himself in the seventh, starting a double play when he turned around and fielded Andrew Brown's comebacker between his legs with his back to the plate and fired to second for the first out.
The Dodgers provided Kershaw with early run support, taking a 4-0 lead in the second off Jeff Francis (5-7). Andre Ethier's RBI double scored the first run and Victorino followed with his 11th homer.