Boston, MA – David Price threw eight shutout innings, giving 0 in game series Wednesday.
B.J. Upton and Evan Longoria hit solo home runs for the Rays, who won the last two games of this three-game series after capturing the nightcap of doubleheader on Tuesday.
Stifled by good starting pitching, the Red Sox had three hits or fewer in each of the three games.
Price (11-10) was the latest to stifle baseball's highest-scoring offense entering the game, allowing three walks and striking out six to earn just his third win since June 22.
Kyle Farnsworth pitched a perfect ninth inning to finish off the shutout, sending Boston to its fourth loss in five games and dropping them a full game behind the New York Yankees for first place in the AL East.
The Yankees play in Kansas City later with a chance to take a 1 1/2-game lead.
John Lackey (11-9) suffered his first loss since July 4 after giving up four runs -- three earned -- on six hits in 6 2/3 innings. The right-hander, who struck out seven and walked three, had won each of his last six decisions.