The Yankees made the announcement more than four hours before the scheduled first pitch at 1:05 p.m. EDT.
The game was rescheduled for 1:05 p.m. Monday. Rain also is forecast for Sunday.
Arizona's series at the Chicago White Sox was reset for Tuesday through Thursday, from the original Monday through Wednesday.
Zach Davies (2-5) had been scheduled to start for the Diamondbacks and Carlos Rodón (3-6) for the Yankees.
Arizona (81-73) began Saturday in position for the second NL wild card, one game ahead of the Chicago Cubs (80-74), who were holding the third and final wild-card spot. Miami (79-75) was one game behind the Cubs, and Cincinnati (79-76) another half-game back.
New York (78-76) was seven games behind Houston (85-69) for the final AL wild card, also trailing Seattle (84-69).
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