Justin Jackson netted 13 points for the Bearcats (23-3, 12-1 AAC), whose 15-game winning streak was snapped last week in a 76-55 loss to Southern Methodist.
Shaquille Thomas scored 11 points.
Danrad Knowles paced the Cougars (12-13, 4-8) with 11 points.
Danuel House, TaShawn Thomas and L.J. Rose each scored 10 for Houston.
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