- Jun 1 "Everything Is Beautiful" by Ray Stevens hits #1
- Jun 1 MLB Commissioner Bowie Kuhn reprimands Astro Jim Bouton for writing "Ball Four"
- Jun 1 Soyuz 9 launched into Earth orbit for 18 days
- Jun 3 1st artificial gene synthesized
- Jun 3 Ray Davies of The Kinks travels round trip NY-London to change 1 word in "Lola," (Coca-Cola to Cherry Cola) because of BBC commercial reference ban
- Jun 4 43rd National Spelling Bee: Libby Childress wins spelling croissant
- Jun 4 San Diego Padres draft Mike Ivie #1
- Jun 4 Tonga (formerly Friendly Islands) declares independence from UK
- Jun 4 WSMW TV channel 27 in Worcester, MA (IND) begins broadcasting
- Jun 5 KPAX TV channel 8 in Missoula, Montana (CBS) begins broadcasting
- Jun 5 Chile becomes a member of the Berne Convention copyright treaty
- Jun 5 The Falls Road curfew in North Ireland, imposed by the British Army while searching for IRA weapons, is lifted after a march by women breaches the British Army cordon
- Jun 6 102nd Belmont: John Rotz aboard High Echelon wins in 2:34
- Jun 6 French Open Women's Tennis: Margaret Court beats Helga Niessen Niessen of Germany 6-2, 6-4 for 2nd leg of her successful Grand Slam
- Jun 7 22nd Emmy Awards: Marcus Welby, Robert Young & Susan Hampshire win
- Jun 7 American jockey Bill Shoemaker passes Johnny Longden with his 6,033 career win
- Jun 7 The Who's "Tommy" is performed at NY's Lincoln Center
- Jun 7 French Open Men's Tennis: Czech star Jan Kodeš wins his first major title; beats Željko Franulović of Yugoslavia 6-2, 6-4, 6-
- Jun 8 Players & management end labor dispute up min salary to $12,000
- Jun 9 Argentine military junta under lt gen Lanusse ousts President Ongania
Music Concert
Jun 12 Rocker and blues singer Janis Joplin debuts in Kentucky
Janis Joplin
LPGA Championship
Jun 15 LPGA Championship Women's Golf, Pleasant Valley CC: Shirley Englehorn wins her only major title; beats 1967 champion Kathy Whitworth by 4 strokes in an 18-hole playoff
Kathy Whitworth
Election of Interest
Jun 18 Edward Heath's Conservative Party win the General Election in UK, replacing the Labour Party
Edward Heath
- Jun 19 A Nikolayev & V Sevastyanov return after 18 days in Soyuz 9
- Jun 19 Conservatives led by Edward Heath win British parliamentary election
- Jun 19 Jim Bouton's controversial "Ball Four" is published
- Jun 19 The Patent Cooperation Treaty is signed
- Jun 20 "Ray Stevens Show" debuts on NBC-TV
- Jun 20 British government of Edward Heath forms (with Margaret Thatcher in the Cabinet)
- Jun 20 Oriole's Brooks Robinson get his 2,000 career hit, a 3 run HR
- Jun 21 US Open Men's Golf Hazeltine National GC: Englishman Tony Jacklin shoots sub-par in all 4 rounds on his way to a 7-stroke win ahead of Dave Hill
FIFA World Cup
Jun 21 FIFA World Cup Final, Estadio Azteca, Mexico City: Brazil and Pelé become first team and player to win World Cup 3 times, beating Italy, 4-1 in front of 107,412
Pele
- Jun 21 Detroit's Cesar Gutierrez goes 7-for-7 to tie a record set in 1892
Event of Interest
Jun 22 President Richard Nixon signs extension of the 1965 Voting Rights Act that requires voting age at 18 in all federal, state, and local elections
Richard Nixon
- Jun 22 Supreme Court ruled juries of less than 12 are constitutional
- Jun 22 WSWO TV channel 26 in Springfield, OH (ABC) suspends broadcasting
- Jun 22 Irish socialist, republican and Member of Parliament, Bernadette Devlin, loses her appeal against a 6-month prison sentence imposed for taking part in riots in Derry
- Jun 23 "Red Skelton Show" last airs on CBS-TV, moved to NBC-TV
Event of Interest
Jun 23 Charles Rangel defeats Adam Clayton Powell Jr. in Democratic primary in New York
Adam Clayton Powell Jr.
Event of Interest
Jun 23 Rocker and singer Chubby Checker arrested for marijuana possession
Chubby Checker
Event of Interest
Jun 26 Frank Robinson hits 2 grand slams as Baltimore Orioles beat Washington Senators 12-2
Frank Robinson
- Jun 26 Two young girls die in a premature explosion in Derry after their father, a member of the Irish Republican Army, was making an incendiary device, presumably for use against the British Army
- Jun 27 Following the arrest of Bernadette Devlin, intense riots erupt in Derry and Belfast leading to a prolonged gun battle between Irish republicans and loyalists
- Jun 28 Around 500 Catholic workers at the Harland and Wolff shipyard are forced to leave their work by Protestant employees as serious rioting continues in Belfast
- Jun 29 US ends 2 month military offensive into Cambodia
- Jun 30 Cincinnati's Riverfront Stadium opens as the visiting Atlanta Braves beat Reds, 8-2; demolished 2002