The Cardinal is two quarters away from winning the Pac-12 North division.
Cardinal running back Stepfan Taylor hit the 100-yard mark on the head by halftime, rushing 16 times for a 6.3 yards-per-carry average. Taylor broke the game open with a 49-yard touchdown scamper to give Stanford a 21-7 lead in the second quarter.
Kevin Hogan is 11-16 for 115 yards and one touchdown through the air. That came less than five minutes into the contest when Hogan hit Drew Terrell for an 11-yard score. Tight end Zach Ertz remains the go-to target through the air, pulling in three catches for 52 yards in the half.
UCLA did make a big play late in the half by blocking its sixth kick in the last two games on a Stanford punt. But the Bruins moved backwards eight yards on their series and had to settle for a 48-yard field goal from Ka'imi Fairbairn.
If the result holds, the two teams will play again in the Pac-12 championship game.