Steve Glagola 44-yard pass from Joe Kapp (2-point conversion failed)
The 60th Big Game was held just a few days after Stanford head coach Taylor announced he would step down following the end of the season to serve as the school's assistant athletic director. Coming into the game, the Indians had won just once in Taylor's 6 previous Big Games, but vowed to win this game for their beloved head coach. Although Stanford had relied on its passing attack from quarterback Jack Douglas all season, it was the running game that gave the team the lead in the second quarter on fullback Chuck Shea's 9-yard run. Shea would rush for 155 yards on the day. California answered, but the point after was blocked, and Stanford nursed a 7–6 lead into the third quarter, when Douglas ran in for another score. California answered late, but the Indians held on to fulfill their vow to their outgoing coach and bring the overall Big Game series record at 25–25–10. Taylor would become Stanford's athletic director in 1963 and serve in that role until 1971.