- May 5 Borussia Dortmund of West Germany win 6th European Cup Winner's Cup against Liverpool of England 2-1 in Glasgow
- May 5 Stanley Cup Final, Olympia Stadium, Detroit, MI: Montreal Canadiens earn back-to-back titles; beat Detroit Red Wings, 3-2 in OT for a 4-2 series victory
Sports History
May 5 Willie Mays hit his 512th HR
- May 7 92nd Kentucky Derby: Donald Brumfield aboard Kauai King wins in 2:02
- May 7 NY Yankees fire manager Johnny Keane
Baseball Record
May 8 Only HR ever hit out of Baltimore's Memorial Park, by Oriole outfielder Frank Robinson
- May 11 European Cup Final, Heysel Stadium, Brussels: Fernando Serena scores the winner as Real Madrid beats Partizan Belgrade, 2-1; Madrid's 6th title
- May 12 St Louis' Busch Memorial Stadium opens, Braves lose to Cards 4-3 in 12 innings
- May 15 1st day of Sunday play in County Cricket, Essex v Somerset
- May 21 91st Preakness: Don Brumfield aboard Kauai King wins in 1:55.4
Boxing Title Fight
May 21 Muhammad Ali TKOs Henry Cooper in 6 for heavyweight boxing title
- May 25 Peru & Argentina soccer fans fight in Lima; 248 die
Indy 500
May 30 Indianapolis 500: English 1962 F1 World Champion Graham Hill wins after leading for a total of only 10 laps; first rookie winner since 1927