The time for the makeup game has yet to be determined. Fans are encouraged to retain their tickets from Monday's postponed game to use for the rescheduled contest.
The two teams will play Tuesday night at Wrigley Field in the second of what was scheduled to be a four-game home-and-home series. On Tuesday, Chicago's Jake Arrieta (6-4, 3.16 ERA) will start against the Indians' Trevor Bauer (5-3, 3.53 ERA).
Tornado sirens sounded near Wrigley Field around 5 p.m. CT and there was heavy rain.
It's the fourth game postponed by rain this season for the Cubs, who already have had games rescheduled against the Cardinals, Reds and Royals.
Carrie Muskat is a reporter for MLB.com. She writes a blog, Muskat Ramblings. You can follow her on Twitter @CarrieMuskat and listen to her podcast. This story was not subject to the approval of Major League Baseball or its clubs.