Max Scherzer (10-5) earned the win, giving up just three hits and two earned runs in seven innings of work. He struck out eight and walked four.
Quintin Berry went 3-for-4, including RBI-singles in the second and sixth innings.
The Indians' Derek Lowe pitched six innings, gave up five hits and four earned runs. He had one strikeout and three walks.
Joaquin Benoit replaced Scherzer in the eighth inning and Jose Valverde entered in the ninth. In his first appearance since last Friday (sore back), he picked up his 19th save of the season.
Game 3 is Thursday at 7:05 p.m. ET in Cleveland.
For more on the Detroit Tigers, check out Bless You Boys, and more on the Cleveland Indians can be found over at Let's Go Tribe. You can also head over to SB Nation's main MLB hub at Baseball Nation, or watch SB Nation's YouTube channel: