Huff (9-7) posted his second straight win over the Twins and Kerry Wood earned his 19th save of the season.
Asdrubal Cabrera doubled in a run and Michael Brantley and Jhonny Peralta each had an RBI single for the Indians, who won twice in a three-game series.
Denard Span drove in a run for Minnesota, which has lost three of its last four contests.
Nick Blackburn (9-10) was the loser, allowing three runs and seven hits in 6 2/3 innings.
Copyright 2009 by United Press International.