- May 1 91st Kentucky Derby: Bill Shoemaker wins aboard Lucky Debonair, the third of his 4 Derby victories
- May 1 Stanley Cup, Montreal Forum, Montreal, Quebec: Dick Duff has a goal and 2 assists as Montreal Canadiens beat Chicago Blackhawks, 4-0 in Game 7 to take title 4-3
- May 3 3rd Mayor's Trophy Game, Mets beat Yanks 2-1 in 10
Baseball Record
May 4 Willie Mays 512th HR breaks Mel Ott's 511th NL record

Willie Mays
Event of Interest
May 16 Baltimore Oriole Jim Palmer's pitching debut, beats Yankees 7-5 & homers

Jim Palmer
- May 19 West Ham United of England win 5th European Cup Winner's Cup against 1860 München of West Germany 2-0 in London
Boxing Title Fight
May 25 Muhammad Ali KOs Sonny Liston at 2:12 of round 1 at Central Maine Civic Center, Lewiston to retain his WBC/WBA heavyweight boxing title

Muhammad Ali

Sonny Liston
French Open Men's Tennis
May 29 French Championships Men's Tennis: Fred Stolle beats fellow Australian Tony Roche 3-6, 6-0, 6-2, 6-3 for his first Grand Slam singles title

Tony Roche