Beckett faced 28 hitters as only Reid Brignac, who had an infield single in the third inning, reached base. Beckett struck out six and retired the final 19 batters in order.
“That’s about as good as you can pitch,’’ Red Sox manager Terry Francona said.
Beckett (6-2) has the lowest ERA in the majors at 1.86 and has emerged as the top candidate to start the All-Star Game for the American League.
“Beckett was very good,’’ Rays manager Joe Maddon said. “That’s an understatement. He was throwing the ball where he wanted to.’’
The shutout was Beckett’s first since July 12, 2009, against the Royals and was the first complete game one-hitter of his career.
“It’s nice,’’ said Beckett, who is blisteringly critical of himself after he pitches poorly and numbingly dull when he pitches well. “I feel good. Health is a really good thing to have.’’
Beckett, who threw 68 of his 97 pitches for strikes, said the idea of being one infield hit away from perfection did not bother him.
“No, because it was a [legitimate] hit,’’ he said. “It wasn’t a no-hitter. It wasn’t a perfect game. It was a one-hitter.’’
Until last night, Jon Lester’s no-hitter against the Royals in 2008 was the last time a Sox pitcher threw a complete game and allowed one hit or fewer.
“He was awesome. He was attacking the zone, he was locating. His tempo was great,’’ second baseman Dustin Pedroia said of Beckett. “He’s been doing that all year.’’
Tampa Bay starter Jeremy Hellickson (7-5) went into the seventh inning matching Beckett’s one-hit shutout.
Jacoby Ellsbury had a good at-bat to start the inning, driving four pitches foul. On the ninth pitch, he lined to right.
The battle with Ellsbury may have tired Hellickson out. Pedroia was next and he drilled the second pitch he saw to right. The ball banged high off the wall as Matt Joyce tried to make a leaping catch.
As the ball rolled away, Pedroia had his first triple since last June 20. He felt Ellsbury’s long at-bat played a role in his getting on.
“That always helps,’’ Pedroia said. “It helps wear him down, it helps our team, not just me.’’
Maddon intentionally walked Adrian Gonzalez, who leads the majors with 60 RBIs.