Verlander (10-6) didn't allow a hit until Mitch Moreland's two-out double in the seventh. The Tigers' ace finished by allowing the just the two-bagger over seven scoreless frames, walking three and striking out three.
Matt Tuiasasopo also drove in a run for American League Central-leading Detroit, which went into the All-Star Game break by taking the rubber match of their three-game series.
Martin Perez (3-2) yielded five runs on four hits over 5 2/3 frames for the Rangers, who came into the contest trailing AL West-leading Oakland by one game.
Celebrity Breakups and divorces of 2014 [PHOTOS]