Kershaw started Game 1 and will be pitching against the St. Louis Cardinals Tuesday on three days rest.
The Dodgers also announced that Zack Greinke, who started Game 2, will start a potential Game 5 on Thursday. Greinke would be pitching on regular rest.
After losing just three games all season, Kershaw gave up eight earned runs in 6 2/3 innings in Game 1 and took the loss as the Dodgers fell 10-9. Six of Kershaw's runs came in the seventh inning.
Last season, Kershaw started Game 4 of the 2013 NLDS on three days rest, giving up three hits and no earned runs in six innings. Los Angeles won that game, 4-3.
Kershaw went 21-3 with a 1.77 ERA during the regular season and is seen as the heavy favorite to win the NL Cy Young Award.
The Dodgers-Cardinals series is tied 1-1 entering Monday's Game 3.
- Molly Geary