Jonathan Holmes helped out with 14 points and eight rebounds as the Longhorns (16-4, 5-2 Big 12) took a third straight win against a ranked foe, tying a school record.
Cameron Ridley added eight points and 14 rebounds for Texas, winners of five straight overall.
The Bears (13-6, 1-5) stumbled to a fifth loss in six games despite 14 points from Gary Franklin.
Taurean Prince supplied 12 points and six rebounds.
2014: The Year in Music [PHOTOS]