CLEVELAND – Tim Wakefield walked to his locker and found a strange new nameplate above it: 2777.

It wasn’t the age of the veteran right-hander, but in honor of becoming Boston’s all-time leader in innings pitched after leading the Red Sox past the Cleveland Indians 3-2 on Tuesday night.

“That’s pretty cool,” the 43-year-old Wakefield (2-4) said after bouncing back from two rocky outings to pitch 71/3 strong innings. That pushed his total for Boston to 2,777, one more than Roger Clemens worked in a Red Sox uniform.

“Now I know why they threw the ball into the dugout,” Wakefield said. “I had no idea what was going on. I feel very blessed to wear this uniform for so long for an organization that believes in me.

“It’s a tribute to never giving up. I’d like to pass that on to somebody on the bubble.”

Wakefield gave up four hits and one earned run, leaving after yielding a pinch-hit double to Travis Hafner, who had been 0 for 10 against the knuckleballer.

“We had a decision to make there, but (Wakefield) had been so good against him,” Manager Terry Francona said about letting the right-hander face Hafner.

Hideki Okajima and Ramon Ramirez each got one out, stranding pinch-runner Anderson Hernandez at third base to end the eighth. Daniel Bard worked the ninth for his second save in five chances.

“(Wakefield) was nails,” Francona said. “That’s kind of neat on a night he sets a record. He pumped a lot of strikes and used his fastball and breaking ball at times, too.

“He’s been pretty remarkable. The word for him is tenacity.”

Wakefield’s 191st career win was his 177th in the American League, third behind Mike Mussina (218) and Andy Pettitte (199) since 1995.

He struck out six without a walk, continuing the Red Sox rotation’s remarkable road run. Their starters are 9-0 with a 0.75 ERA in the last 10 games away from Fenway Park.

Wakefield was 0-2 with a 13.97 ERA in his previous two starts but retired 15 in a row at one point and improved to 12-8 in his career against Cleveland.

The Red Sox have won 17 of 20 against Cleveland since trailing the Indians 3-1 in the 2007 AL Championship Series, then rallying to win the pennant and the World Series.

Boston is 8-2 and the Indians 3-7 in their last 10 games.

Cleveland took a 1-0 lead in the first. Shin-Soo Choo tripled with one out and scored when Jhonny Peralta’s two-out grounder handcuffed third baseman Adrian Beltre for an error.

Boston got three unearned runs in the fourth off David Huff (2-7) after Victor Martinez reached when his two-out fly ball was dropped by Trevor Crowe on the warning track in center for a two-base error.

“Routine fly ball, got under it, clanked it,” Crowe said. “I felt really poorly for Huff because he was pitching so well.”

Kevin Youkilis followed with a double off the scoreboard in left, scoring Martinez. Francona argued it was a home run and the umpires used instant replay, which showed the ball falling short by several feet.

David Ortiz drove home Youkilis with a single off the glove of second baseman Luis Valbuena.

After Beltre singled, Bill Hall doubled in Ortiz for a 3-1 lead.

“I need to be able to refocus and get the next guy out,” Huff said, refusing to blame Crowe. “I had a hard time doing that.”