Jerome Dyson scored a career-high 32 points, and the Huskies overcame a 10-point second-half deficit to upset the top-ranked Longhorns in Storrs, Conn.
It was Texas’ second consecutive loss after winning its first 17 games.
UConn (13-6) outscored Texas (17-2) 54-32 in the second half and earned its first win over a ranked opponent this season in five attempts.
Kemba Walker had 19 points and 10 assists, and Stanley Robinson added 17 points and 12 rebounds for UConn, which again was without coach Jim Calhoun, who missed his second game on a doctor-ordered leave of absence.
Damion James had 23 points and seven rebounds for Texas.