The game will be made up on June 25 in Kansas City.
After a day off Monday, Ohtani will start Tuesday against the Boston Red Sox as the Angels open a six-game homestand in Anaheim.
The Angels-Royals game was the sixth game postponed Sunday by weather. The last time six MLB games were postponed was Sept. 12, 2008.
A split doubleheader in Detroit between the New York Yankees and Tigers, along with a game in Cleveland between the Indians and? Toronto Blue Jays?and a game in Chicago between the Cubs and Atlanta Braves?all were postponed Sunday afternoon.
The Tigers announced the games will be rescheduled as a split doubleheader on June 4, with the first game beginning at 1:10 p.m. ET and the second beginning at 7:10.
Sunday's doubleheader had been scheduled because of a Saturday rainout.
The Blue Jays-Indians game has been rescheduled as part of a doubleheader on May 3. The Blue Jays and Indians also had Saturday's game postponed.
The Cubs-Braves game will be played May 14.
The Chicago White Sox- Minnesota Twins game was postponed late Saturday night because of heavy snow in the Twin Cities.
Information from The Associated Press was included in this report.