- Jun 4 Jorge de Sena, Portuguese novelist and poet (Reino da Estupidez), dies at 58
- Jun 5 John Meulenhoff, Dutch publisher, dies at 71
- Jun 6 D. H. Th. Vollenhoven, Dutch composer and philosopher, dies at 85
- Jun 6 Lester "Shad" Collins, American jazz trumpet player, composer and arranger (Chick Webb; Lester Young: Cab Calloway), dies at 67
- Jun 7 Ronald George Wreyford Norrish, British chemist, Nobel Prize laureate 1967, dies at 80
- Jun 9 Chief Tahachee [Jeff Davis Tahchee Cypert], Cherokee stage and film actor, dies from a heart attack at 74
- Jun 12 Guo Moruo, Chinese scholar and writer, dies at 85
- Jun 14 Theodore Karyotakis, Greek classical composer, dies at 74
- Jun 15 Anton Roosjen, Dutch politician and NCRV-chairman, dies at 83
- Jun 16 Felicia Montealegre, Costa Rican-American actress (Studio One; Kraft Television Workshop), and social activist, dies of lung cancer at 56
- Jun 17 Cully Richards, actor (Don't Call Me Charlie), dies at 68
- Jun 18 Walter C. Alvarez, American physician (b. 1884)
- Jun 20 Karel G Bakker, actor (Coffee House), dies at 66
- Jun 22 Jens Otto Krag, Danish politician, premier of Denmark (1962-68, 71-72), dies at 63
- Jun 22 Tom Gorman, Australian rugby league centre and captain (10 Tests; Queensland 34 games), dies at 77
- Jun 24 Robert Charroux, French writer (b. 1909)
- Jun 25 Barry Brown, American actor (Frederick Winterbourne-Daisy Miller), dies at 27
- Jun 25 Hussein al-Ghasjmi, president of North-Yemen, murdered
- Jun 26 Rabbaji, president of South-Yemen, executed
- Jun 28 Clifford Dupont, First President of Rhodesia (b. 1905)
- Jun 29 Bob Crane, American DJ and actor (Hogan's Heroes; The Donna Reed Show), murdered at 49