Cutler started the contest in a game-time decision after missing last week's loss to San Francisco and responded with 188 aerial yards, including a 13-yard TD pass to Matt Spaeth.
Michael Bush scored a pair of rushing touchdowns en route to 60 yards on 21 carries as the Bears (8-3) snapped a two-game skid.
The Vikings (6-5) fell for the third time in four games as Christian Ponder was held to 22-for-43 passing efficiency for 159 yards, one touchdown and one interception.
Adrian Peterson amassed 108 rushing yards on 18 carries for the Vikings.
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