The Indians totaled eight hits on the night and were hitless in their first 19 at-bats with men on base. They stranded two men in scoring position in the 13th, but capitalized in the next frame. Lonnie Chisenhall singled to center with one out and Stubbs registered off Joe Blanton (2-14) to left-center to take the lead.
Michael Bourn scored Cleveland's final run to give the Indians their fifth victory in seven contests to pull within 5 1/2 games of Detroit for first place in the AL Central.
The Angels lost for the eighth time in 10 games.
Swim Week Miami Beach 2014 [PHOTOS]