- Jun 1 Christopher Cockerell, English engineer and inventor (Hovercraft), dies at 88
- Jun 1 Mr. Prospector, American thoroughbred racehorse and breeding stallion (most influential sire of his generation), dies of complications from colic at 29
- Jun 2 Junior Braithwaite, Jamaican musician (The Wailers) (b. 1949)
- Jun 5 Mel Tormé, American singer (The Velvet Fog) and composer (The Christmas Song), dies at 73
- Jun 6 Anne Haddy, Australian actress (b. 1930)
- Jun 6 Eddie Stanky, American baseball second baseman, manager (MLB All Star 1947, 48, 50), dies of a heart attack at 83
- Jun 7 Paco Stanley, Mexican TV entertainer, dies at 56
- Jun 11 DeForest Kelley, American actor (Dr. Leonard "Bones" McCoy-Star Trek), dies of stomach cancer at 79
- Jun 14 Bernie Faloney, professional football player (b. 1932)
- Jun 15 Ernst van Altena, Dutch author and interpreter (Chansons van Earnest), dies at 65
- Jun 16 Screaming Lord [David Edward] Sutch, English rocker and politician (founder of Official Monster Raving Loony Party), committed suicide at 58
- Jun 20 Clifton Fadiman, American author (b. 1902)
- Jun 21 Kami, Japanese drummer (Malice Mizer) (b. 1973)
- Jun 21 Karl Krolow, German poet and translator, dies at 84
- Jun 22 Lubos Fiser, Czech composer, dies at 63
- Jun 23 Buster Merryfield, British actor (Only Fools and Horses), dies of a brain tumor at 78
- Jun 25 Fred Feast, English actor (b. 1929)
- Jun 26 Angelo Bertelli, American College Football Hall of Fame quarterback (Heisman Trophy 1943, National C'ship 1943, Notre Dame), dies of brain cancer at 78
- Jun 27 Marion Motley, American NFL fullback (all-time leading AAFC rusher), dies at 79
- Jun 27 Brian O'Hara, English rock musician (The Foremost), commits suicide at 57
- Jun 27 Georgios Papadopoulos, Greek dictator (head of the military coup d'état that took place in Greece on 21 April 1967), dies at 80
- Jun 27 Einar Englund, Finnish composer, dies at 83
- Jun 29 Allan Carr, American film producer and director (Grease, Happiest Millionaire), dies at 62
- Jun 30 Édouard Boubat, French photographer, dies at 75