Rays starting pitcher Jake Odorizzi (3-2) gave up one run on seven hits and struck out six in seven innings of work on Monday to defeat the Red Sox.
The one run allowed came in the second inning when he served up back-to-back triples to Brock Holt and Xander Bogaerts.
Odorizzi did not allow a home run in his sixth straight start, matching a Rays' club record.
Odorizzi lowered his ERA to 2.21 with the outing.
Odorizzi's next start is set for Saturday against the Rangers.