- Jun 2 Eisaku Sato, premier of Japan (1964-71 Nobel 1974), dies at 74
- Jun 3 Oswald "Ozzie" Nelson, American actor (The Adventures of Ozzie and Harriet), dies from cancer at 69
- Jun 3 Satō Eisaku, Japanese Prime Minister (1964-72), (Nobel 1974), dies at 74
- Jun 4 Evelyn Brent, American actress (Nitwits, Last Command, Spy Train), dies at 75
- Jun 5 Paul Keres, Estonian chess player (b. 1916)
- Jun 6 Larry Blyden, actor (Joe & Mabel, What's My Line), dies at 49
- Jun 8 William F Jenkins, author (Time Tunnel, Land of Giants), dies at 78
- Jun 9 David Frederick Barlow, composer, dies at 48
- Jun 11 Floro Manuel Ugarte, Argentine composer, dies at 90
- Jun 12 Alfred Kurella, German author and functionary of the Socialist Unity Party of Germany in East Germany, dies at 80
- Jun 14 Pablo Antonio, Filipino modernist architect (b. 1902)
- Jun 14 Clancy Cooper, American actor (Enchanted Forest, Girls in Chains), dies at 68
- Jun 16 Don Robey, American record label executive and record producer, dies at 71
- Jun 17 Sid Gordon, American baseball player, dies at 57
- Jun 18 Faisal Ibn Mussed Abdul Aziz, Saudi prince, beheaded in Riyadh shopping center parking lot for killing his uncle the king
Sam Giancana
Jun 19 Sam Giancana, American gangster, dies of multiple gunshot wounds at 67
Sam Giancana
- Jun 20 Daniel Ayala Perez, composer, dies at 68
- Jun 21 Heinz Lau, German composer, dies at 49
- Jun 23 William Hansen, American actor (1776, Pinky, Side Street, Homebodies), dies at 64
- Jun 26 St. Josemaría Escrivá, Spanish Catholic priest (b. 1902)
- Jun 28 Rod Serling, American screenwriter and TV host (The Twilight Zone; Night Gallery), dies after multiple heart attacks at 50
- Jun 28 Konstantinos Apostolos Doxiadis, Greek architect (b. 1913)
- Jun 28 Serge Reding, Belgian weightlifter (b. 1941)
- Jun 29 Jerry Verno, British actor (River of Unrest, Ourselves Alone, Sweeney Todd), dies at 79
- Jun 29 Tim Buckley, American singer-songwriter, dies at 28 of a heroin overdose