Danks (13-10) scattered three hits, walked one and struck out seven.
Dewayne Wise and Brent Lillibridge each had two hits and an RBI for the White Sox, who have won three of their last four games.
Shin-Soo Choo homered and doubled for the Indians.
Aaron Laffey (7-8) gave up three runs on eight hits and three walks over 7 1/3 innings.
Copyright 2009 by United Press International.