The game was called more than two hours before it was set to begin. The rainout will be made up as part of a doubleheader Wednesday starting at 4:05 p.m., though rain is in the forecast.
Chicago's Carlos Torres will face Fausto Carmona in the first game. Mark Buehrle will face the Indians' Justin Masterson in the second game.
There had been talk the White Sox would shut down Buehrle, who is 1-7 since pitching a perfect game on July 23.
"They talked to me after my last start and said, 'You're not officially shut down, but there's a chance you won't pitch anymore, so we can give some of these younger guys a try,"' Buehrle said. "I don't like sitting four days between starts, anyways. Sitting these last two weeks would've been tough."
Wednesday will also mark the last starts of the season for Masterson and Carmona. The Indians will need a starter for Sunday's season finale at Boston, but right now manager Eric Wedge is leaning toward Tomo Ohka.
Indians outfielder Michael Brantley, who has missed the last two games with a sprained left ankle, was in Tuesday night's lineup.