- Jun 1 Robert Manry begins his 78 day voyage to sail a 13.5-foot yacht "Tinkerbelle" across the Atlantic Ocean
- Jun 5 97th Belmont: John Sellers aboard Hail to All wins in 2:28.6
- Jun 6 Yankees Tom Tresh bangs 3 consecutive HRs beating White Sox 12-0
- Jun 8 MLB Draft: Kansas City Athletics A's select Arizona State University outfielder Rick Monday #1; inaugural MLB Draft
- Jun 12 Morio Shigematsu of Japan runs world record marathon (2:12:00) in the Polytechnic Marathon in London, England
- Jun 13 LPGA Western Open Women's Golf, Beverly CC: Susie Maxwell wins by 3 strokes ahead of runner-up Marlene Hagge
- Jun 14 Cincinnati Reds pitcher Jim Maloney no-hits New York Mets but loses in 11 innings, 1-0
Baseball Record
Jun 15 Detroit pitcher Denny McLain in relief strikes out first 7 batters faced & records 14 in 6 2/3 innings in Tigers 6-5 win over Boston Red Sox; Bill Freehan ties catcher record of 19 putouts
US Golf Open
Jun 21 US Open Men's Golf, Bellerive CC: Gary Player of South Africa beats Australian Kel Nagle by 3 strokes in an 18-hole playoff to win his only US Open title; completes his career Grand Slam at age 29
- Jun 22 Freddie Trueman ends his Test cricket career, v NZ at Lord's
Sports History
Jun 30 NFL Commissioner Pete Rozelle grants ownership of the Atlanta Falcons to Rankin Smith Sr., Executive VP of Life Insurance Company of Georgia; Rankin pays then-record $8.5 million
Baseball Players
Basketball Stars
Boxers
Footballers
NFL Stars
Tennis Champions