- Jun 1 Bekim Fehmiu, Yugoslavian actor (Black Sunday, Permission to Kill, Cagliostro), born in Sarajevo, Kingdom of Yugoslavia (d. 2010)
- Jun 1 Gerald Scarfe, British illustrator (The Sunday Times; The New Yorker: Pink Floyd's "The Wall"), born in St. John's Wood, London, England
- Jun 2 Otis Williams, American doo-wop singer (Charms), born in Cincinnati, Ohio
- Jun 2 Sally Kellerman, American actress (M*A*S*H (film); Back to School; The Player), and singer, born in Long Beach, California (d. 2022)
- Jun 2 Vladimir Golubnichy, Soviet walker (Olympic gold 20k 1960, 68), born in Sumy, Ukraine
Colin Meads (1936-2017)
Jun 3 New Zealand rugby union player and All Black great known as "Pinetree", born in Cambridge, New Zealand
- Jun 3 David Nicholls, English Anglican priest, theologian and political theorist, born in Woking, England (d. 1996)
- Jun 3 Eddie Willis, American guitar and sitar player (The Funk Brothers), born in Grenada, Mississippi (d. 2018)
- Jun 3 Larry McMurtry, American Pulitzer Prize winning novelist (Lonesome Dove), and Academy Award-winning scriptwriter (Brokeback Mountain), born in Wichita Falls, Texas (d. 2021)
- Jun 3 Philip Attenborough, English publisher (Hodder & Stoughton), born in Chislehurst, England (d. 2006)
- Jun 4 Alan Branscombe, British jazz and session pianist, vibraphonist, and saxophonist (Tubby Hayes; Beatles - "Got To Get You Into My Life"), born in Wallasey, Cheshire, England (d. 1986)
- Jun 4 Bruce Dern, American actor (Nebraska, The Hateful Eight, Django Unchained), born in Chicago, Illinois
- Jun 4 David Lyon, CEO (Bowater), born in London
- Jun 4 Nutan Bahl, Indian actress (Seema, Bandini), born in Bombay, British India (d. 1991)
- Jun 5 Kelly Seymour, South African cricket spin bowler (7 Tests, 9 wickets; Western Province), born in Kokstad, South Africa (d. 2019)
- Jun 6 Levi Stubbs [Stubbles], American baritone singer (The Four Tops - "It's the Same Old Song"; "Standing In The Shadows of Love"), born in Detroit, Michigan (d. 2008)
- Jun 6 Richard Green, American sexologist, lawyer, and author who advocated for gay and transsexual rights, born in Brooklyn, New York (d. 2019)
- Jun 7 Kenneth Nichols, Canadian classical pianist, composer, (Symphonic Celebration; Boy In A Cage), and teacher (Brandon University, 1962-96), born in Pincher Creek, Alberta (d. 2021)
- Jun 8 James Darren [Ercolani], American actor (TJ Hooker; Gidget movies -"Moondoggie"; Diamond Head; Venus in Furs), singer ("Goodbye Cruel World"), and director, born in Philadelphia, Pennsylvania
- Jun 8 Kenneth G. Wilson, American physicist (Nobel Prize in Physics, 1982), born in Waltham, Massachusetts (d. 2013)
- Jun 9 Mick O'Dwyer, Gaelic footballer and manager, born in Waterville, Ireland
- Jun 10 Graham Carleton Greene, British publisher (Jonathon Cape), born in Berlin, Germany (d. 2016)
- Jun 11 Bryan Ingham, English artist, born in Preston, Lancashire (d. 1997)
- Jun 11 Jud Strunk, American singer-songwriter ("Daisy a Day"), and comedian (Laugh-In), born in Jamestown, New York (d. 1981)
- Jun 12 Bill Zeliff, American politician, U.S. House of Representatives from New Hampshire (1991-97), born in East Orange, New Jersey
- Jun 14 Irmelin Sandman Lilius, Swedish-Finnish writer, born in Helsinki
- Jun 14 Renaldo "Obie" Benson, American singer (The Four Tops), born in Detroit, Michigan (d. 2005)
- Jun 15 Alexandru Hrisanide, Romanian composer, born in Petrila, Romania (d. 2018)
- Jun 15 Claude Brasseur, actor (Josepha, Pardon Mon Affair), born in Paris, France
- Jun 15 William Joseph Levada, American Catholic prelate
- Jun 16 August Willemsen, Dutch poet and translator
- Jun 16 Fred Oster, Dutch TV host
- Jun 17 Ken Loach, British film director (The Wind That Shakes the Barley), born in Nuneaton, Warwickshire
- Jun 18 Denny Hulme, New Zealand auto racer (F1 World Drivers' Champion 1967), born in Motueka, New Zealand (d. 1992)
- Jun 18 Ian Spurling, Australian born ballet designer (The Royal Ballet), born in South Australia (d. 1996)
- Jun 18 Ronald Venetian, President of Suriname (1991-96, 2000-2010), born in Paramaribo, Suriname
- Jun 19 Marisa Galvany, American soprano
- Jun 19 Shirley Goodman, US R&B singers (Shirley & Lee- Feels so Good)
- Jun 20 Billy Guy [Frank Phillips], American baritone pop singer (The Coasters, 1955-73 - "Charlie Brown"; "Youngblood"), and record producer, American singer (The Coasters - "Young Blood"), born in Itasca, Texas (d. 2002)
- Jun 22 Dick Huddart, English rugby league second rower (16 Tests Great Britain; St. Helens, St. George), born in Flimby, Cumberland, England (d. 2021)
- Jun 22 Ferran Olivella, Spanish soccer defender (18 caps Spain, 2 Catalonia; FC Barcelona 214 games), born in Barcelona, Spain (d. 2023)
- Jun 22 Hermeto Pascoal, Brazilian jazz musician and composer, born in Lagoa da Canoa, Alagoas, Brazil
- Jun 22 Kris Kristofferson, American country singer-songwriter ("Me And Bobby McGee"; "Help Me Make It Through The Night"), and actor (Amerika; Millennium; A Star Is Born), born in Brownsville, Texas
- Jun 22 Verne Allison, American singer (Dells-Open Up My Heart), born in Chicago, Illinois
- Jun 23 Berend Boudewijn [van der Woude], Dutch TV host/director (Baantjer)
- Jun 23 Costas Simitis, Prime Minister of Greece
- Jun 25 B. J. Habibie, 3rd President of Indonesia (1998-99) who liberalized Indonesia's press and political party laws, born in Parepare, South Sulawesi, Dutch East Indies (d. 2019)
- Jun 25 Paul Nowee, Dutch writer of children's and youth books. (Eagle's Eye), born in The Hague, Netherlands (d. 1993)
- Jun 26 Robert Maclennan, Baron Maclennan of Rogart, born in Glasgow
- Jun 27 John Shalikashvili, Polish-American general (NATO), born in Warsaw, Poland (d. 2011)
- Jun 27 Lucille Clifton, American poet (Two-Headed Woman), born in Depew, New York (d. 2010)
- Jun 28 Chuck Howley, American Pro Football HOF linebacker (Super Bowl 1971; Super Bowl MVP 1970; 5 × First-team All-Pro; 6 × Pro Bowl; Dallas Cowboys), born in Wheeling, West Virginia
- Jun 28 Gisela Kraft, German writer, born in Berlin (d. 2010)
- Jun 28 Major R. Owens, American politician (Rep-D-NY, 1983-2007), born in Collierville, Tennessee (d. 2013)
- Jun 28 Peter Hall, British folklorist and musician, born in London (d. 1996)
- Jun 29 David Jenkins, American figure skater (Olympic gold singles 1960; World C'ship gold singles 1957-59), born in Akron, Ohio
Harmon Killebrew (1936-2011)
Jun 29 American Baseball HOF utility (13 × MLB All-Star; AL MVP 1969; 6 × AL HR leader; Washington Senators, Minnesota Twins), born in Payette, Idaho
- Jun 29 Kigeli V, last King of Rwanda (1959-61), born in Kamembe, Rwanda (d. 2016)
- Jun 29 Leonard Lee, American vocalist (Shirley & Lee - "Let The Good Times Roll"), born in New Orleans, Louisiana (d. 1976)
- Jun 30 Assia Djebar [Fatma-Zohra Imalhayène], Algerian writer and filmmaker, born in Iol, Algeria (d. 2015)
- Jun 30 Dave Van Ronk, American folk singer and songwriter ("Garden State Stomp"), born in Brooklyn, New York (d. 2002)
- Jun 30 Nancy Dussault, American actress (Muriel-Too Close for Comfort), born in Pensacola, Florida
- Jun 30 Pauls Dambis, Latvian composer, conductor, and pedagogue, born in Riga, Latvia
- Jun 30 Tom Frost, American rock climber (founder gear & apparel company Patagonia), born in Los Angeles, California (d. 2018)
- Jun 30 Tony Musante, American actor (David Toma-Toma, Nowhere to Hide), born in Bridgeport, Connecticut (d. 2013)
About June 1936
How Old? 86 or 87 years old
Generation: Silent Generation
Leap Year: Yes