SAN FRANCISCO — Jason Schmidt pitched a three-hit shutout to lead the San Francisco Giants to a 2-0 win over the Florida Marlins in game one of their National League division series Tuesday.

The Giants will host game two of the best-of-five series Wednesday afternoon at Pacific Bell Park and will be hoping to extend their lead before the two teams head to Florida.

San Francisco, the NL West champions, and Florida, which captured the playoff wild-card berth with the best second-place finish, opened the series with a tense pitchers’ duel.

“It didn’t take long to see this was going to be a close game,” Giants manager Felipe Alou said after his team had registered its first playoff shutout in 16 years.

“Schmidt did a tremendous job and (Marlin pitcher Josh) Beckett was outstanding as well,” Alou added.

Schmidt (18-5) pitched all nine innings and walked none, disarming Marlin bats with a combination of fastballs and offspeed pitches that painted all corners of the plate.

Marlins right-hander Beckett (9-9) matched Schmidt pitch-for-pitch through seven innings before he was removed in the eighth inning after giving up one run on two hits, striking out nine batters and neutralizing Giants slugger Barry Bonds.

Bonds, whose 45 regular-season home runs led the National League, was 0-for-1 with three walks, two of them intentional.

The Giants tallied the game’s winning run in the fourth inning when shortstop Rich Aurilia scored on a bunt single by third baseman Edgardo Alfonzo.

They added an insurance run in the eighth after Bonds was intentionally walked and then stole second base.

With Bonds in a scoring position, Alfonzo made the Marlins pay for the walk by lining a drive to the deep center-field wall off relief pitcher Chad Fox to bring home the runner.