Snell's defining moment came in Super Bowl III when the AFL champion Jets played the heavily-favored NFL champion Baltimore Colts. Although slowed by knee injuries, Snell was a key player in the Jets' ball-control offense during the 16–7 upset victory. He carried the ball 30 times for a then-Super Bowl record 121 yards, and in the second quarter went four yards around left end to score the Jets' only touchdown, a score that marked the first time an AFL team had led in a Super Bowl. He also helped set up a trio of Jim Turner field goals that finally put the game away for the Jets in the second half, securing the AFL's first Super Bowl win in the league's penultimate season.