Chasson Randle scored 22 points and the Cardinal upset the 10th-ranked Huskies 53-51 on Wednesday night.
It was the first win for Stanford (8-2) against a Top 25 team away from Palo Alto since the 2008 NCAA tournament. The Cardinal's previous seven wins this season came over teams that were a combined 32-41.
Josh Huestis added 13 points and Dwight Powell had 10 points and 15 rebounds for Stanford which overcame a 10-point halftime deficit.
DeAndre Daniels had 15 points for UConn (9-1), which was 6 of 10 from behind the arc in the first half and 0 for 12 in the second.