Freshman Jrue Holiday added 13 points and Josh Shipp had 11 for the Bruins, who, like Cal, had lost two of three. UCLA coach Ben Howland improved to 13-4 against Cal, the most success he's had against any opponent in 15 years of coaching.
Alfred Aboya and Michael Roll added 10 points each for UCLA.
Theo Robertson, the nation's leading 3-point shooter, was 3-of-4 from long range and the Bears, who as a team lead the nation, hit 60% from beyond the arc.
UCLA blew open an eight-point game with a 20-7 run to start the second half. Shipp and Nikola Dragovic hit 3-pointers and Aboya had four points as the lead stretched to 51-30.
Cal missed on three straight possessions, and then turned the ball over on a fourth while six UCLA players were scoring.
The Bruins had 16 steals - their most in a Pac-10 game this season - to feed their offense. They had 12 steals in the first half. UCLA shot 55% from the field and controlled the boards 34-23.
Collison had 12 points in the first half, when the Bruins effectively double-teamed the Bears to cause 16 of their 21 turnovers.
Cal closed within two points later in the first half on consecutive 3-pointers by Jerome Randle and D.J. Seeley, but the Bruins ran off eight consecutive points and the Bears never got that close the rest of the game.