Arizona State (21-12) led, 53-38, four minutes into the second half. The Bruins (24-8) slowly chipped away at the lead.
Travis Wear’s two free throws tied the score, 74-74, with 1 minute 30 seconds left. Wear, who had 15 points, made back-to-back jumpers to give UCLA a 78-75 lead with 12 seconds left.
Arizona State’s Jonathan Gilling missed a three-point attempt with three seconds left.
Jordan Bachynski had 22 points and Jahii Carlson 21 to lead Arizona State.