Cleveland State's only leads were in the game's opening minutes. A layup by Mike Monserez tied the game, then Sheets scored the next six points for Butler (8-10, 4-5 Horizon League).
The Bulldogs led 26-17 at halftime and took their biggest lead at 59-38 on a pair of free throws by Monserez with under three minutes to go.
The Vikings (4-16, 0-9) were led by Omari Westley and Jermaine Robinson with 16 points each. Robinson also had nine of Cleveland State's 16 turnovers and fouled out with just over a minute remaining.