Kipnis' home run came on an 0-1 pitch from Lucas Luetge and capped a two-out rally that began with a walk and an infield hit.
The Indians have won 15 of 19 and are 10-2 at Progressive Field since April 30.
Vinnie Pestano (1-0), activated from the disabled list before the game, worked around a one-out walk in the 10th.
Drew Stubbs, who homered in the fifth, drew a walk off Luetge (0-1). Stubbs broke for second with a 1-2 count on Michael Bourn, and Luetge threw to first baseman Justin Smoak, but Stubbs beat the throw to shortstop Brendan Ryan.
Bourn hit a slow roller past the mound and second baseman Dustin Ackley's throw to first was late. Kipnis followed with his seventh homer.
YANKEES 5, BLUE JAYS 0
Austin Romine and Brett Gardner had run-scoring hits, Robinson Cano hit an RBI grounder and Jayson Nix had two sacrifice flies in dropping Buehrle to 1-10 in 15 starts against the Yankees. The left-hander hasn't beaten New York since April 10, 2004, when he was with the Chicago White Sox.
The AL East-leading Yankees defeated last-place Toronto for the fifth straight time this season in New York and for the seventh time in eight games overall.
Kuroda (6-2) struck out five and walked one in cooling off a club that had scored 33 runs in its previous three games and had won a season-high four in a row. Kuroda won for the fourth time in five starts and is 2-0 in three starts against the Blue Jays this year -- matching up each time against Buehrle -- allowing four runs in 21 1-3 innings.
RAYS 12, ORIOLES 10
BALTIMORE -- Kelly Johnson hit a three-run homer and an RBI single, and Tampa Bay held on for a victory over slumping Baltimore.
The Orioles surrendered a season-high 17 hits for the second straight game and gave up their most runs in any game this season. Baltimore has allowed 27 runs and 52 hits while losing four of its last five games.
Chris Dickerson hit a three-run homer in Baltimore's six-run eighth inning, but the Orioles' rally stalled from there.
Johnson drove a full-count pitch from Jason Hammel (5-2) over the wall in right in the third, capping Tampa Bay's four-run outburst with his sixth homer.
Copyright 2013 by The Associated Press
This story is from ESPN.com's automated news wire. Wire index