The Rangers took two of three from New York and have won all six of their series this season while compiling baseball's best record (15-4).
Beltre homered in the second and had RBI singles in the third and sixth innings. Mike Napoli hit his seventh homer of the year, a solo blast in the fourth, and Mitch Moreland added a solo shot in the sixth.
Texas put together a collection of pitchers to fight off the Yankees, getting a spot start from Scott Feldman after a rainout in Detroit disrupted the rotation. Feldman went only 3 1/3 innings and the win was collected by Robbie Ross (4-0).
Ross, who prior to this season had appeared in only five games above Class AA, retired all eight men he faced after relieving Feldman.
Phil Hughes (1-3) took the loss, surrendering four runs on five hits in 2 2/3 innings.
Beltre left the first game of a doubleheader in Detroit Saturday after feeling tightness in his right hamstring. He returned to Texas for an MRI, but returned to the lineup Tuesday.