The Tigers stranded leadoff hitter Ian Kinsler, who walked to lead off the bottom of the sixth inning.
Nicholas Castellanos (left field) and Victor Martinez (center field) flew out, while in between, Miguel Cabrera struck out swinging.
Shane Greene will take the mound in the top of the seventh for the Tigers, replacing starter Matt Boyd who pitched six shutout innings, allowing a hit, walking two and striking out six.
Twins get 1st hit in 6th
Matt Boyd gave up his first hit in the top of the sixth inning, a bloop single from Robbie Grossman with two outs.