Nova (3-2) was charged with an unearned run in 7 1/3 innings, helping the Yankees avoid a fourth consecutive loss. The right-hander scattered two hits and walked one.
The struggles continued for Texas starter Matt Harrison (3-4), who absorbed his fourth straight loss after surrendering three runs on four hits and walked five over six innings.
Texas has dropped seven of nine overall.
Derek Jeter opened the game with a single to right field and Granderson followed with a blast to right-center for a 2-0 New York lead. Jeter sat out Thursday’s setback in Detroit after leaving the previous contest with a sore right hip.
Harrison walked both Jorge Posada and Russell Martin to begin the second. Two batters later, Jeter hit a bouncer up the middle that deflected off Harrison. The left-hander’s errant throw to first allowed a runner to score.
Granderson’s one-out shot to right in the seventh off Ryan Tucker put the visitors up 4-0.
After Mike Napoli drew a one-out walk in the eighth, New York first baseman Mark Teixeira booted a ball hit by Mitch Moreland. Rafael Soriano replaced Nova and struck out Chris Davis before Julio Borbon grounded an RBI single to right. Ian Kinsler flied out to end the inning.
Mariano Rivera closed the door in the ninth for his 12th save of the season.
Jeter played in his 2,302nd career game at shortstop for the Yankees, matching Cal Ripken’s mark for most games at the position with one team…Granderson leads the club with 10 home runs this season…New York placed infielder Eric Chavez on the 15-day disabled Friday with a fractured fifth metatarsal in his left foot and recalled infielder Ramiro Pena from Triple-A Scranton/Wilkes- Barre…The Rangers reinstated closer Neftali Feliz (shoulder inflammation) from the 15-day DL on Friday and optioned catcher Taylor Teagarden to Triple-A Round Rock…New York won two of three at home