The Twins and Indians will play a doubleheader Thursday starting at 12:05 p.m.
The game was called off about two hours before it was supposed to begin.
Cleveland is trying to stay in contention for the AL Central title and also a wild-card spot.
Left-hander T.J. House (2-3) was scheduled to start for Cleveland against right-hander Kyle Gibson (11-10) on Wednesday. Indians ace Corey Kluber (14-9) had been set to pitch Thursday against Ricky Nolasco (5-10).