Anthony Gose had a tiebreaking two-run double for the Blue Jays, who won for the ninth time in 11 games and improved to 9-3 against the Red Sox this season.
Xander Bogaerts homered and Dustin Pedroia added an RBI double for Boston, which has dropped all five games in Fenway Park against Toronto.
The Red Sox lost for the seventh time in eight games.
Stroman (7-2) held Boston to one run and six hits in seven innings, striking out eight and walking two. He took a no-hitter into the seventh last Thursday before giving up Shane Victorino’s leadoff single for his only hit allowed in seven innings.
Casey Janssen got the final three outs for his 17th save despite giving up Bogaerts’ homer.
Rubby De La Rosa (3-4) gave up three runs on nine hits in six innings.
The Blue Jays beat Boston in the opener of a three-game series on Monday.
Gose’s two-out, two-run double snapped a 1-all tie and pushed the Blue Jays ahead in the sixth. Juan Francisco and Rasmus singled before advancing on Munenori Kawasaki’s sacrifice bunt.
Rasmus’ homer into the center field bleachers gave Toronto a 1-0 lead in the second, but Boston tied it on Pedroia’s RBI double.
Trainer’s room
Blue Jays: Infielder Brett Lawrie, on the disabled list since late June with a broken right index finger, began hitting off a tee late last week. On Monday, the team acquired Danny Valencia from Kansas City for a pair of players to give them depth at third while Lawrie works his way back. Manager John Gibbons said Valencia will face “a lot of lefties.”
Red Sox: First baseman Mike Napoli had what manager John Farrell called a “down day” due to swelling on the ring finger of his left hand.
On deck
- Boston Red Sox starting pitcher Rubby De La Rosa delivers to the Toronto Blue Jays during the first inning of a baseball game at Fenway Park in Boston, Tuesday, July 29, 2014. (AP Photo/Elise Amendola)
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