New York starter Vidal Nuno, scheduled to attempt to salvage a split of the series against Kansas City's Jason Vargas, will kick off a three-game set in Seattle on Tuesday.
The rainout spoils a series-opening matchup between Japanese pitchers and former Tohoku Rakuten Golden Eagles (Nippon Professional Baseball) teammates Masahiro Tanaka and the Mariners' Hisashi Iwakuma.
Instead, everyone in the Yankees' rotation moves back a day, with Tanaka starting Wednesday and Chase Whitley wrapping up the series in Seattle on Thursday.
Kansas City took two of the three games in the rain-shortened series, including a 2-1 win Sunday.
The Yankees have dropped seven of 10 and have averaged 2.5 runs per game during that stretch.
The Royals had planned a presentation to honor Derek Jeter's career. This ceremony will take place on Aug. 25.
Jackson Alexander is an associate reporter for MLB.com.