The match came down to a third set tiebreaker on court No. 1.
The Horned Frogs upend their second ranked opponent and score their seventh doubles point in a row.
TCU dropped a 4-3 decision in a six-hour match at the indoor facility.
Over 1,000 fans attended the College Match Day showdown with No. 5 Texas.
The Horned Frogs secure their fifth straight win and third shut out in the last four matches.