- Jun 2 Century Milstead, American College Football Hall of Fame tackle (Yale; NFL C'ship 1927, NY Giants), dies at 62
John XXIII (1881-1963)
Jun 3 Italian priest and 261st Pope (1958-63), dies of stomach cancer at 81
- Jun 3 Nazim Hikmet, Turkish poet (Tosun Pasa, The Passenger), dies at 61
- Jun 3 Paul Maxey, American actor (The Narrow Margin, Till the Clouds Roll By), dies from a heart attack at 56
- Jun 5 Donat Raymond, Canadian Hockey Hall of Fame builder (head Canadian Arena Company, Montreal Forum rebuilt in 1968) and politician, dies at 83
- Jun 6 William Baziotes, American painter (abstract expressionist), dies at 50
- Jun 7 ZaSu Pitts, American actress (Life With Father; Dames; Wedding March), dies at 69
- Jun 9 Vasyl Barvinsky, Ukrainian pianist, composer, conductor, musicologist ("Béla Bartók in Lviv"), and teacher (Lysenko Higher Institute of Music, 1915-48), dies at 75
- Jun 10 Anita King, American stunt driver (1st woman to drive across the US unaccompanied) and actress (Tender Loving Care), dies of a heart attack at 74
- Jun 10 Jack Root, Czech-American boxer (First world light heavyweight champion 1903), dies from a heart attack at 87
- Jun 11 Thích Quảng Đức, Buddhist monk, immolates himself on a street in Saigon at the age of 65-66
- Jun 12 Andrew Browne, Irish/British admiral (Cape Matapan, WW II), dies at 80
Medgar Evers (1925-1963)
Jun 12 American civil rights activist and NAACP official, shot and assassinated in Jackson, Mississippi at 37
- Jun 17 Alain F B Alanbrooke, 1st viscount of Brookeborough, dies at 79
- Jun 17 John Cowper Powys, British writer and critic (Wood & Stone, Wolf Solent), dies at 90
- Jun 17 John Whiting, British actor, dramatist and critic (PT Raiders, The Devils, The Good Companions), dies of cancer at 45
- Jun 18 Pedro Armendáriz, Mexican actor (From Russia With Love, Fort Apache), commits suicide at 51
- Jun 20 Gordon Jones, American character actor (The Green Hornet; Flying Tigers; Abbott & Costello), dies from a heart attack at 52
- Jun 20 Joseph Self, American murderer, executed by hanging in Walla Walla, Washington at 32; last state execution until 1990
- Jun 20 Ralph Sanford, American actor (Life & Legend of Wyatt Earp), dies at 64
- Jun 20 Raphaël Salem, Greek mathematician, dies at 64
- Jun 22 Maria Tănase, Romanian singer of traditional and popular music (b. 1913)
- Jun 24 Jud Wilson, American Baseball HOF infielder (NgL World Series 1943, 44; Baltimore Black Sox, Homestead Grays, Philadelphia Stars), dies at 67
- Jun 26 Obe Postma, Frisian poet (Fan wjerklank en bisinnen / Of resonance and reflection), naturalist, and historian, dies at 95
- Jun 28 John 'Home Run' Baker, American Baseball HOF third baseman (World Series 1910, 11, 13; AL HR leader 1911–14; AL RBI leader 1912, 13; Philadelphia A's), dies at 77