Wood was the starting free safety for the Packers in Super Bowl I against the Kansas City Chiefs and Super Bowl II against the Oakland Raiders. In Super Bowl I, he recorded a key interception that helped the Packers put the game away in the second half. In Super Bowl II, he returned five punts for 35 yards, including a 31-yard return that stood as the record for longest punt return in a Super Bowl until Darrell Green's 34-yard return in Super Bowl XVIII. He led the NFL in interceptions and punt return yards in 1962.