The Red Sox rallied from a 4-1 deficit to beat the Yankees 5-4 in 10 innings and complete a four-game sweep at Fenway Park.
Andrew Benintendi clinched the victory with a RBI single after Boston scored three runs in the bottom of the ninth to stay alive.
New York closer Aroldis Chapman allowed the three runs with three walks to blow his second save of the season and Jonathan Holder was tagged with the loss.
The Yanks built their advantage with all four runs in the seventh inning.
The Red Sox have taken a nine-and-a-half game lead on NY for first in the AL East.
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