In 1970 he played the final round with Arnold Palmer, shooting a seventy-three which included an eagle and a double-bogey on the seventh and the eighth holes, and making a bogey on the thirteenth despite putting a ball in the water.

[1] Due to rain at the 1976 PGA Championship, which was held at the Congressional Country Club, the final round had to be delayed until Monday.

Stockton sank a fifteen-foot par putt at the seventy-second hole to avoid a three-man playoff with Raymond Floyd and Don January.

He remained competitive in his sixties, finishing in the top 50 on the Champions Tour money list for a thirteenth consecutive season in 2004.

In 2009, Stockton was credited with aiding the world's second-ranked golfer, Phil Mickelson with his putting, which helped him win the 2009 Tour Championship.