The Indians fell just short of a shutout as they knocked off the Twins 8-1 in Cleveland.
Carlos Carrasco pitched into the eighth inning and struck out 11 to get the win.
Jose Ramirez drove in three runs and Edwin Encarnacion and Greg Allen each plated two.
The Indians and Twins play the second of their three-game series tonight at Progressive Field.
Cleveland has extended its lead on Minnesota to 14 games in the AL Central.
Adam Plutko starts for the Indians. The Twins counters with Kohl Stewart.