- Apr 1 Alexander Mackenzie Stuart, Baron Mackenzie-Stuart, Scottish jurist, dies at 75
- Apr 2 Tommaso Buscetta, Sicilian mafioso and pentito (b. 1928)
- Apr 3 Terence McKenna, American writer and philosopher (b. 1946)
- Apr 5 Lee Petty, American race car driver (b. 1914)
- Apr 6 Habib Bourguiba, 1st president of Tunisia (1957-87), dies at 96
- Apr 7 Heinz [Burt], British rock bassist (The Tornados - "Telstar"), dies from complications of a stroke at 57 [1]
Claire Trevor
Apr 8 Claire Trevor, American actress (Marjorie Morningstar), dies of respiratory failure at 91
Claire Trevor
- Apr 8 Bernie Grant, British politician (Labour), dies of a heart attack at 56
- Apr 10 Peter Jones, British actor (Chariots of Fire, From a Bird's Eye View), dies of natural causes at 79
- Apr 10 Larry Linville, American actor (b. 1939)
- Apr 10 Kirsten Rolffes, Danish actress (The Kingdom, Matador, Een stor familie), dies at 71
- Apr 11 Lucia Dlugoszewski, Polish-American composer (Fire Fragile Flight), dies at 74
- Apr 11 Diana Darvey, British actress, singer and dancer (b. 1945)
- Apr 12 Niaz Ahmed, Pakistani cricketer (1st & last East Pakistani to play Test cricket), dies at 54
- Apr 13 Giorgio Bassani, Italian writer, dies at 84
- Apr 13 Frenchy Bordagaray, American baseball utility (World Series 1941; Brooklyn Dodgers), dies at 90
- Apr 13 Inglis Gundry, British composer, musicologist and novelist, dies at 94
- Apr 14 Phil Katz, American computer programmer (Zip file format), dies from the effects of alcoholism at 37
- Apr 14 Wilf Mannion, English footballer (b. 1918)
- Apr 15 Edward Gorey, American illustrator, dies at 75
- Apr 19 Louis Applebaum, Canadian conductor and composer, dies at 82
- Apr 21 Neal Matthews, Jr., American singer (The Jordanaires), dies at 70
- Apr 22 Alexander H. Cohen, Broadway producer (Beyond the Fringe), dies at 79
- Apr 24 John Beck, New Zealand cricket batsman (8 Tests; 3 x 50; top score 99; Wellington), dies at 65
- Apr 25 David Merrick, American theatrical producer (Hello Dolly), dies at 88
- Apr 25 Lucien le Cam, French mathematician (b. 1924)
- Apr 25 Neils Viggo Bentzon, Danish pianist and composer (The Tempered Piano), dies at 80
- Apr 27 Vicki Sue Robinson, American singer, dies at 45
- Apr 28 Penelope Fitzgerald, English writer, dies at 83
- Apr 28 Jerzy Einhorn, Polish-Swedish doctor, researcher and politician, dies at 74
- Apr 30 Bernhard Heiden [Levi], German-American composer, dies at 79