- Jun 2 Gerald Whitrow, British mathematician (b. 1912)
- Jun 2 Svyatoslav Fyodorov, Russian ophthalmologist (b. 1927)
- Jun 3 William E. Simon, American businessman, US Secretary of Treasury under Nixon, dies at 72
- Jun 5 Don Liddle, American baseball player, dies at 75
- Jun 6 Frédéric Dard, French writer (San-Antonio), dies at 78
- Jun 8 (Abram) "Abe" Lincoln, American sweet jazz trombonist (Paul Whiteman; Ozzie Nelson), and Dixieland jazz revivalist, dies at 93
- Jun 8 Jeff MacNelly, American Pulitzer Prize winning cartoonist (Shoe), dies at 52
- Jun 9 Ernst Jandl, Austrian writer and poet (Otto's Pug), dies at 74
- Jun 9 George Segal, American painter and sculptor of lifelike mixed-media figures (Bus Driver), dies at 75
- Jun 9 Jacob Lawrence, African-American artist (Sanitarium), dies at 82
- Jun 10 Brian Statham, English cricket fast bowler (70 Tests, 252 wickets @ 24.84), dies at 69
Hafez al-Assad (1930-2000)
Jun 10 General and President of Syria (1971-2000), dies of a heart attack at 69
- Jun 10 William McMillan, American sports shooter (Olympic gold 25m rapid fire pistol 1960; World C'ship gold 1952), dies at 71
- Jun 11 Lew Gallo, American character actor and screenwriter (Get Smart; Gunsmoke; 12 O'Clock High), dies at 71
- Jun 12 P. L. Deshpande, Indian Marathi writer, dies at 80
- Jun 14 Attilio Bertolucci, Italian poet and writer, dies at 88
- Jun 14 Maria do Carmo Geronimo, Brazilian maid, former slave and oldest Brazilian, dies at about 129
- Jun 14 Paul Griffin, American session musician and pianist, dies at 62
- Jun 15 Jules Roy, French writer (b. 1907)
- Jun 16 Empress Kōjun, Empress consort of Japan, dies at 97
- Jun 16 Richard Dufallo, American clarinetist and conductor, dies at 67
- Jun 17 Alex Moir, New Zealand cricket spin bowler (17 Tests, 28 wickets, BB 6/155; Otago), dies at 80
- Jun 17 Ismail Mahomed, South African and Namibian Chief Justice, 1st permanent black judge on South African Supreme Court, dies at 68
- Jun 18 Nancy Marchand, American actress (The Sopranos, Beacon Hill, Margaret-Lou Grant), dies at 71
- Jun 19 Noboru Takeshita, Japanese PM (1987-89), dies at 76
- Jun 20 Jim De Courcy, Australian cricketer (Australian batsman 1953), dies at 73
- Jun 20 Karl Mickel, German writer, dies at 64
- Jun 21 Alan Hovhaness, Armenian-American composer (Lousadzak, Ukiyo), dies at 89
- Jun 21 Johanna Moosdorf, German writer (Next Door), dies at 88
- Jun 23 Jerome Richardson, an American jazz saxophonist, flute, clarinet, and piccolo player (Quincy Jones; Charles Mingus; Earl Hines), dies of heart failure at 79
- Jun 24 David Tomlinson, British actor (Mary Poppins, Bedknobs and Broomsticks, Helter Skelter), dies from a stroke at 83
- Jun 24 Sadiq Hussain Qureshi, Pakistani politician (Governor of Punjab, 1973-75; Chief Minister of Punjab, 1975-77), dies at 72
- Jun 24 Vera Atkins, Romanian-born British intelligence officer (b. 1908)
- Jun 26 Logan Ramsey, American actor (Head, Joy Sticks, Say Yes), dies of a heart attack at 79
- Jun 27 Larry Kelley, American College Football Hall of Fame tight end (Heisman Trophy 1936; unanimous All-American 1936; Yale), commits suicide at 85
- Jun 27 Pierre Pflimlin, French politician (briefly French Prime Minister 1958), dies at 93
- Jun 27 Rudy Cafaro, American jazz guitarist, dies at 80
- Jun 28 Jane Birdwood, British anti-Semitic activist (b. 1913)
- Jun 28 Nils Poppe, Swedish actor (the Seventh Seal, Dum-Bom), dies of viral complications after several stroke at 92
- Jun 29 Arnie Weinmeister, Canadian Pro Football Hall of Fame defensive tackle (Pro Bowl 1950–53; First-team All-Pro 1950–53; NY Yankees, NY Giants; BC Lions), dies at 77
- Jun 29 Coen Flink, Dutch actor (Pastorale 1943, Havinck, Honneponnetje), dies at 68
- Jun 29 Il Mattatore [Vittorio Gassman], Italian actor, director and screenwriter (Scent of a Woman, War & Peace), dies at 77
- Jun 29 John Aspinall, English zoo owner (Howletts; Port Lympne), and gambling club host, dies of cancer at 74