- Jun 1 100th Belmont: Gus Gustines aboard Stage Door Johnny wins in 2:27.2
- Jun 1 St. Louis Cardinals side-arming left-hander Joe Hoerner ties NL record for most consecutive strikeouts by a relief pitcher, fanning the final 6 batters to earn a 6-5 victory over the New York Mets
- Jun 3 Yanks turn 21st triple-play in their history lose 4-3 to Twins
Sports History
Jun 4 Don Drysdale pitches his 6th straight shutout, en route to 58 innings
- Jun 8 Don Drysdale pitches a record 58th consecutive scoreless inning
French Open Women's Tennis
Jun 8 French Open Women's Tennis: American Nancy Richey beats Ann Haydon-Jones 5-7, 6-4, 6-1 for her second and last Grand Slam singles title
French Open Men's Tennis
Jun 9 French Open Men's Tennis: In an all-Australian final Ken Rosewall beats Rod Laver 6-3, 6-1, 2-6, 6-2; first Grand Slam of Open Era allowing professional players to compete
US Golf Open
Jun 16 US Open Golf, Oak Hill CC: Lee Trevino wins his first major title by 4 shots from Jack Nicklaus; first to play sub-70 golf in Open history
- Jun 23 74 are killed and 150 injured in a football stampede towards a closed exit in a Buenos Aires stadium
Boxing Title Fight
Jun 24 Joe Frazier stops Mexican challenger Manuel Ramos in 2nd round TKO at NYC's Madison Square Garden in his first heavyweight boxing title defense
LPGA Championship
Jun 24 LPGA Championship Women's Golf, Pleasant Valley CC: Canadian Sandra Post wins an 18-hole playoff against Kathy Whitworth by 7 strokes
Sports History
Jun 25 Bobby Bonds hits a grand slam in his 1st major league game (San Francisco Giants)