- May 2 22nd NBA Championship: Boston Celtics beat LA Lakers, 4 games to 2
- May 4 1st ABA championship: Pitts Pipers beat NO Buccaneers, 4 games to 3
- May 4 94th Kentucky Derby: Ismael Valenzuela aboard Forward Pass wins
- May 11 Stanley Cup Final, Montreal Forum, Montreal, Quebec: Defenceman J. C. Tremblay fires home the winner as Montreal Canadiens edge St Louis Blues, 3-2 for a 4-0 series sweep
TV Show Appearance
May 15 Paul McCartney & John Lennon appear on "The Tonight Show Starring Johnny Carson", to promote Apple Records, Joe Garagiola is substitute host
- May 18 93rd Preakness: Ismael Valenzuela aboard Forward Pass wins in 1:56.8
Baseball Record
May 18 AL Kaline hits his 307th HR, surpassing Hank Greenberg as a Tiger
- May 21 Billy Williams of the Chicago Cubs sets outfielder record of 695 straight MLB games
Baseball Record
May 22 Pittsburgh Pirates future Baseball HOF outfielder Willie Stargell hits 3 HRs, a double and a single in a 13-6 rout of the Chicago Cubs at Wrigley Field
Sports History
May 27 George Halas retires from coaching, finishing with 318 regular-season wins and 6 NFL titles
- May 27 NL awards Montreal & SD major league franchises
- May 28 MLB: AL announces it is splitting into 2 divisions
- May 28 MLB: NL grants San Diego Padres a franchise
- May 29 European Cup Final, Wembley Stadium, London: Bobby Charlton scores twice as Manchester United beats Benfica, 4-1; first English club to win the trophy
Indy 500
May 30 Indianapolis 500: Bobby Unser driving a piston-powered Offenhauser beats Dan Gurney to win his first of 3 Indy 500 triumphs