Fister (11-13) improved to 8-1 since Detroit obtained him from Seattle in late July. He held the Indians to three hits, issuing no walks and striking out nine.
The right-hander tossed 81 of his 109 pitches for strikes and logged a victory in his fifth straight start for the American League Central champion Tigers.
Delmon Young clubbed a three-run homer, Alex Avila went 2-for-3 with three RBI and Miguel Cabrera added three hits, including a run-scoring single, as Detroit posted its eighth straight win over Cleveland.
Indians starter Ubaldo Jimenez (4-4) was rocked for six runs on nine hits over five frames.
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