Kuroda (9-5) tamed the Red Sox on two runs, allowing five hits and a walk while striking out four en route to a third straight start of surrendering two or fewer runs.
Robinson Cano supplied an RBI single during a three-run outburst in the seventh that handed the Yankees a 4-0 lead and later added a sacrifice fly as fourth-place New York broke a three-game skid.
Bosox starter John Lackey (7-7) was roughed up for four runs on 10 hits in a 6 1/3-inning effort.
Mike Carp went 3-for-4 and Jonny Gomes drove in a run for AL East-leading Boston.
Notable deaths of 2014 [PHOTOS]
Arizona Cardinals player formally charged