- Jun 5 "Bigfoot" by Bro Smith hits #57
Event of Interest
Jun 5 108th Belmont: Puerto Rican jockey Ángel Cordero Jr., riding Bold Forbes wins his only Belmont classic

Ángel Cordero Jr.
- Jun 5 Teton Dam in Idaho burst causing $1 billion damage (14 die)
- Jun 5 After a suspected republican bombing kills 2 Protestant civilians in a pub, the Ulster Volunteer Force kill 5 civilians in a gun and bomb attack at the Chlorane Bar, North Ireland
- Jun 6 30th NBA Championship: Boston Celtics beat Phoenix Suns, 4 games to 2
- Jun 6 "The Omen" premieres in the UK
Event of Interest
Jun 7 NBC Nightly News with John Chancellor & David Brinkley, premieres

David Brinkley
- Jun 8 Houston Astros draft Floyd Bannister #1
- Jun 10 49th National Spelling Bee: Tim Kneale wins spelling narcolepsy
- Jun 10 67,000 fans attends Wings concert at Seattle's Kingdome
- Jun 11 "Magnificent Marble Machine" last airs on NBC-TV
- Jun 11 Anti-apartheid advocate Dumisa Ntsebeza arrested in South Africa
- Jun 11 Australian band AC/DC begin their 1st headline tour of Britain
- Jun 11 Beatles "Rock & Roll Music" LP is released in USA
Event of Interest
Jun 12 "Yes, Yes, Yes" by Bill Cosby hits #46

Bill Cosby
Golf Major
Jun 13 Canadian Open Golf (Peter Jackson Classic), Cedar Brae CC: Donna Caponi wins in a playoff with Judy Rankin

Donna Caponi
Event of Interest
Jun 13 Bob Marley performs in Amsterdam

Bob Marley
- Jun 13 Inge Helten runs female European record 100m (11.04)
- Jun 13 French Open Women's Tennis: Sue Barker of England claims her lone major singles title; beats Renáta Tomanová of Czechoslovakia 6-2, 0-6, 6-2
- Jun 14 "Gong Show" premieres on TV (syndication)
- Jun 14 12th Mayor's Trophy Game Yanks beat Mets 8-4
- Jun 14 French Open Men's Tennis: Adriano Panatta of Italy beats American Harold Solomon 6-1, 6-4, 4-6, 7-6 for his lone Grand Slam singles title
- Jun 15 In a blockbuster MLB trade, NY Yankees send May, Martinez, Pagan, MacGregor & Demsey to Baltimore Orioles for Holtzman, Alexander, Grant Jackson, Elrod Henrick & Jim Freeman
- Jun 15 Rain out! Astrodome cancels game heavy rains make it difficult for visiting team and umpires to get through flooded streets to the stadium
- Jun 16 Students in Soweto, South Africa, march against the use of Afrikaans as a medium of instruction in Black secondary schools
- Jun 17 ABA (Nets, Pacers, Nuggets & Spurs) merges into NBA
- Jun 17 Indonesia annexes Portuguese East-Timor
- Jun 18 A Joseph William Turner watercolor auctioned for £340,000
- Jun 18 St Louis Cards Lou Brock & Hector Cruz hit inside-the-park HRs
- Jun 18 Bowie Kuhn voids A's sales, totaling $35 million, of Joe Rudi & Rollie Fingers to Red Sox, & Vida Blue to Yankees
- Jun 19 US Viking 1 goes into Martian orbit after 10-month flight from Earth
- Jun 20 US Open Men's Golf, Atlanta AC: Tour rookie Jerry Pate wins his only major title, 2 strokes ahead of runners-up Al Geiberger and Tom Weiskopf
- Jun 20 Carol Fugate, Starkweather accomplice, is paroled
- Jun 20 Disney's River Country opens at Bay Lake (closed 2001)
- Jun 20 UEFA European Championship Final, Red Star Stadium, Belgrade, Yugoslavia: Czechoslovakia upsets West Germany, 5-3 on penalties following 2-2 draw a.e.t
- Jun 21 Berlinguers PCI wins election in Italy
- Jun 22 "Godspell" opens at Broadhurst Theater NYC for 527 performances
- Jun 22 SD Padre pitcher Randy Jones ties record of 68 innings without a walk
- Jun 23 CCN Tower in Toronto, tallest free-standing structure (555 m) opens
- Jun 23 The U.S. vetoes Angola’s application for membership of the United Nations Security
- Jun 24 1975 movie "The Rocky Horror Picture Show" released in Germany
- Jun 24 A Principal's office in Hlengisi Primary, Nyanga, outside Cape Town, South Africa, is burnt down; part of the broader resistance against the oppressive new Bantu Education policy of Afrikaans as a teaching medium in their schools
- Jun 25 Ranger Toby Harrah is only shortstop not to handle a fielding chance in doubleheader
- Jun 25 The Soweto Uprising in South Africa leaves 174 blacks and two whites dead following 10 days of rioting
- Jun 25 "The Omen" premieres in the US
Event of Interest
Jun 25 26th Berlin International Film Festival: "Buffalo Bill and the Indians, or Sitting Bull's History Lesson" wins the Golden Bear

Sitting Bull
- Jun 26 Washington Senators player Toby Harrah plays an entire doubleheader at shortstop without a single chance in the field
- Jun 27 "Pacific Overtures" closes at Winter Garden NYC after 193 performances
- Jun 27 Air France Airbus hijacked in Germany to Uganda
- Jun 27 Portuguese general Antonio Eanes elected president
- Jun 27 In South Africa, the National President of the Black People's Convention, Kenneth Hlaku Rachidi, declares that riots in Soweto have lead to a new era of political consciousness
- Jun 27 Air France A-300B Airbus hijacked from Athens arrives at Entebbe, Uganda; four hijackers members Popular Front for the Liberation of Palestine and Bader-Meinhof Gang in Germany
- Jun 28 1st woman was admitted to Air Force Academy in Colorado Springs, Colorado
- Jun 28 Three British mercenaries are sentenced to death for their part in the Angolan civil war
- Jun 29 The Seychelles become independent from the United Kingdom.
- Jun 30 John Walker of NZ sets record for 2000 m, 4:51.4