Kuroda (10-6) gave up six hits and walked one while striking out three. The Rangers only got one runner as far as third base in the game.
Texas starter Derek Holland (8-6) allowed both New York runs, surrendering eight hits and walking one over 7 1/3 innings.
He took a three-hit shutout bid into the sixth when Austin Romine led off the inning with a double and scored on a one-out double by Brent Lillibridge.
Robinson Cano had a one-out double in the eighth that chased Holland from the game. Vernon Wells greeted reliever Tanner Scheppers with a single that got Cano to third, from where he scored on a fielder's choice.