The umpiring crew made the call following an 83-minute rain delay.
New York starter A.J. Burnett and Twins' starter Scott Baker had each given up just three hits when the game was suspended.
The game will resume Wednesday at 5:05 p.m. EDT, with the regularly scheduled game to be played at 7:10 p.m., or 30 minutes after the conclusion of the first contest.
There was no immediate word on who would pitch when the two teams complete Tuesday's game.
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