LOS ANGELES -- Left-hander Madison Bumgarner conceded just five hits in eight innings and catcher Buster Posey drove in two runs to give the San Francisco Giants a 2-1 victory over the Los Angeles Dodgers on Tuesday night in front of 50,161 at Dodger Stadium.

Bumgarner (2-1) also amassed a season-high nine strikeouts while permitting only one walk and one run in out-pitching left-hander Clayton Kershaw, the Dodgers' ace.

Kershaw (1-2), who won the National League's Most Valuable Player and Cy Young awards last year, recorded eight strikeouts in seven innings, did not issue a walk while allowing two runs on seven hits.

Posey had a run-scoring single and a solo home run in going 2-for-4.

Shortstop Joaquin Arias went 3-for-3 with a stolen base to lead the Giants' 10-hit attack.

Right-hander Santiago Casilla earned his sixth save by pitching a perfect ninth inning and striking out pinch-hitter Adrian Gonzalez to end the game.

The Giants took a 1-0 lead in the top of the first inning against Kershaw. With two out, center fielder Angel Pagan hit a double off the top of the left-field wall and scored when Posey lined a single into right field.

Then in the top of the fourth, Posey pounded Kershaw's first pitch of the inning, a 92 mph fastball, into the center-field stands for his third home run of the season to give San Francisco a 2-0 lead.

But after Posey's homer, Kershaw retired 11 of the next 12 batters he faced through the seventh inning, including eight in a row.

Los Angeles put the potential tying runs in scoring position with nobody out in the top of the fourth against Bumgarner. Shortstop Jimmy Rollins led off with a single and moved to third base on center fielder Enrique Hernandez's double to center field.

But the Dodgers scored only one run to narrow their deficit to 2-1. After Bumgarner struck out first baseman Justin Turner, second baseman Howie Kendrick hit into a fielder's choice that brought Rollins home.

In the fifth, Dodgers catcher A.J. Ellis represented the potential tying run at second base after he walked with two outs and advanced when Kershaw reached base on shortstop Joaquin Arias' throwing error. But Bumgarner ended the threat by inducing Rollins to ground out.

NOTES: San Francisco LHP Madison Bumgarner began Tuesday night's game needing 87 strikeouts and 37 1/3 innings to reach 1,000 in both categories for his career. ... Giants 2B Joe Panik, a left-handed hitter, got the night off against Dodgers LHP Clayton Kershaw. Matt Duffy, a right-handed hitter, replaced Panik at second base. ... Giants SS Joaquin Arias replaced regular SS Brandon Crawford in the lineup. Crawford is in a 2-for-17 slump. ... Giants OF Angel Pagan is 100 hits away from 1,000 for his career. ... Entering Tuesday's game, San Francisco had grounded into 21 double plays, more than any other National League team. ... Dodgers 1B Adrian Gonzalez received the night off. Gonzalez had played all of the previous 19 games and leads the majors in slugging percentage (.776) and OPS (1.210). Utility INF Justin Turner replaced Gonzalez. ... Los Angeles OF Carl Crawford went on the disabled list Tuesday with a strained right oblique muscle. The Dodgers recalled INF Kike Hernandez from Triple-A Oklahoma City (Pacific Coast League) and started him in center field. Hernandez, 23, was part of a seven-player trade that sent 2B Dee Gordon to the Miami Marlins in December. ... Former Dodger Kirk Gibson announced Tuesday that he was diagnosed with Parkinson's Disease. Gibson, 57, hit one of the most dramatic home runs in World Series history off Oakland Athletics closer Dennis Eckersley in the bottom of the ninth inning to give the Dodgers a 5-4 victory in Game 1 in 1988. Los Angeles won the Series in five games.