- Apr 4 Al Lewis, American lyricist, songwriter and music publisher (Blueberry Hill, You Gotta Be a Football Hero), dies at 65
- Apr 4 Guy Chamberlin, American College/Pro Football HOF end (Uni of Nebraska; 5×NFL C'ship; First-team All-Pro 1920), dies at 73
- Apr 4 Héctor Scarone, Uruguayan soccer forward (51 caps; Nacional, FC Barcelona, FC Inter Milan, Palermo FC), dies at 68
- Apr 4 Mischa Elman, Ukraine-American violinist, dies at 76
- Apr 5 Hermann Joseph Muller, American geneticist, Nobel laureate (b. 1890)
- Apr 7 Anne Morrison Chapin, American playwright, actress, (The Wild Westcotts), and screenwriter (The Sailor Takes A Wife), dies at 75
- Apr 11 Donald Sangster, Jamaican prime-minister (b. 1911)
- Apr 13 Luis Somoza Debayle, President of Nicaragua (1956-63), dies at 44
- Apr 15 Totò [Antonio De Curtis], Italian actor (Motorizzate; Noi Duri) commonly referred to as the most popular Italian comedian of all time, dies from a heart attack at 69
- Apr 16 Jean Alexandre Barré, French neurologist who helped identify the Guillain-Barré-Strohl syndrome, dies at 86
- Apr 17 Giorgio Cesana, Italian coxswain (Olympic gold 1906), dies at 75
- Apr 17 Henry "Red" Allen, American jazz trumpeter, dies of pancreatic cancer at 59
- Apr 18 Karl Miller, German soccer defender (12 caps; Dresdner SC), dies at 53
Konrad Adenauer (1876-1967)
Apr 19 Chancellor of West Germany (CDU: 1949-63), dies at 91
- Apr 21 André-Louis Danjon, French astronomer (invented Danjon astrolabe), dies at 77
- Apr 22 Tom Conway [Sanders], British radio and screen actor (The Falcon's Brother; I Cheated The Law; The Betty Hutton Show), dies of cirrhosis of the liver at 62
- Apr 24 Frank Overton, American actor (Fail Safe; 12 O'Clock High (TV series, not film)), dies of a heart attack at 49
- Apr 24 Vladimir Komarov, Soviet cosmonaut (Voshkod I, Soyuz 1) and the 1st human to die in a space flight, dies in Soyuz 1 at 40
- Apr 28 Oscar Comras, American drummer, bandleader, and namesake of Comras Mall in Bronx Park, dies at 51
- Apr 29 Anthony Mann, American film actor and director (El Cid, Winchester '73, The Glenn Miller Story), dies from a heart attack at 60
- Apr 29 J. B. Lenoir, African American blues guitarist and singer-songwriter, active in the 1950s, dies from injuries sustained in a car crash at 38
Assassination
Drug Overdose
Gunshot Wound
Murder
Plane Crash
Suicide