The game in Detroit was called more than three hours before the scheduled first pitch, with rain in the area expected to linger throughout the day.
There was no makeup date immediately announced. The Tigers took two of three in what was initially supposed to be a four-game series.
Detroit heads off to begin a series at Oakland on Friday night, while the Indians continue their road trip at Kansas City.
The rainout could help a Cleveland team that just put ace right-hander Corey Kluber on the disabled list .
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