Baseball Trade
May 11 Giants trade Willie Mays to Mets for pitcher Charlie Williams & cash
- May 11 Stanley Cup Final, Madison Square Garden, NYC: Wayne Cashman scores twice as Boston Bruins beat NY Rangers, 3-0 to take title, 4-2
- May 12 Milwaukee Brewers beat Minnesota Twins, 4-3, in 22 innings (completed 5/13)
- May 13 Milwaukee Brewers beat Minnesota Twins, 4-3, in 22 innings (started 5/12)
- May 14 In Willie Mays' 1st game as New York Met, his homer beats San Francisco Giants, 5-4 (his former team of over 20 years), at Shea Stadium, New York
- May 18 American basketball player John Sebastian makes 63 consecutive free throws while blindfolded
- May 20 5th ABA Championship: Indiana Pacers beat NY Nets, 4 games to 2
- May 20 97th Preakness: Eldon Nelson aboard Bee Bee Bee wins in 1:55.6
- May 24 Glasgow Rangers of Scotland win 12th European Cup Winner's Cup against Dynamo Moscow 3-2 of the Soviet Union 3-2 in Barcelona
Frazier KOs Stander
May 25 Heavyweight Joe Frazier KOs Ron Stander
- May 26 Joe Frazier TKOs Ron Stander in 5 for heavyweight boxing title
- May 27 Indianapolis 500: Mark Donohue wins after leading only the final 13 laps; owner Roger Penske's first of eighteen Indy 500 victories
- May 29 LPGA Titleholders Championship Women's Golf, Southern Pines CC: Sandra Palmer wins first of 2 majors by a massive 10 strokes from Judy Rankin and Mickey Wright
- May 31 16th European Cup: Ajax beats Internazionale 2-0 at Rotterdam