Taylor carried the ball 20 times, while Kevin Hogan completed 15-for-22 passes for 160 yards with a touchdown as the Cardinal (10-2, 8-1 Pac-12) clinched the conference's North Division.
Stanford's win -- its sixth straight -- set up a rematch with South Division champ UCLA in next week's Pac-12 championship game.
Brett Hundley went 20-of-38 for 261 passing yards with a touchdown and an interception for Bruins (9-3, 6-3) while contending with seven sacks.
UCLA saw its five-game winning streak snapped.
Celebrity Couples of 2014 [PHOTOS]