Lorenzo Ball had 17 points, eight assists and six rebounds, helping No. 4 UCLA edge Utah 83-82 on Saturday.
The Bruins (18-1, 5-1 Pac-12) overcame a nine-point deficit in the second half despite a poor defensive performance.
Aaron Holiday made a deep three-pointer with 1:52 left to give UCLA an 81-80 lead and Utah forward Kyle Kuzma missed a contested long-range shot in the final seconds.
Thomas Welsh then made two foul shots for the Bruins and Lorenzo Bonam scored in the waning moments for the Utes to provide the final margin.