Singleton is Penn State's leading rusher with 53 carries, 408 yards, and three touchdowns.
The Nittany Lions are 4.5-point favorites for the cross-country battle.
The Nittany Lions failed to register a shot on target as they suffer a third Big Ten loss in Bloomington.
The win extended Penn State's winning streak to seven.
Penn State was strong in the first half but could not fight back after a three-goal quarter from Ohio State.