- Apr 1 Clement D'Hooghe, Belgian composer, dies at 51
- Apr 2 Simon Barere, pianist, dies while perfoming at Carnegie Hall
- Apr 3 Johannes C Kielstra, Dut economist/gov (Suriname 1933-44), dies at 72
- Apr 4 Al Christie, Canadian film director and producer (b. 1881)
- Apr 4 George Albert Smith, President of The Church of Jesus Christ of Latter-day Saints (the LDS or Mormon Church) (b. 1870)
- Apr 5 Edward Rigby, British actor (Star Look Down, Young & Innocent), dies at 72
- Apr 6 Halfdan Cleve, composer, dies at 71
- Apr 9 Sadiq Hidajat, Persian writer (Hadji Aga), dies at 48
- Apr 9 Vilhelm F K Bjerknes, Norwegian/US physicist/meteorology, dies at 89
- Apr 12 Harold Vincent Milligan, American musician and composer, dies at 62
- Apr 16 Emile Erens, Dutch hagiographer (Pastor of Ars), dies at 85
- Apr 18 António Óscar Carmona, 97th Prime Minister of Portugal and 11th President of Portugal (b. 1869)
- Apr 20 Ivanoe Bonomi, Prime Minister of Italy (b. 1873)
- Apr 22 Stanley Ridges, actor (possessed, Sgt York, Mr Ace), dies at 59
- Apr 22 Horace Donisthorpe, British entomologist (b. 1870)
- Apr 23 Charles Gates Dawes, American politician (30th Vice President of the United States) and Nobel laureate (1925), dies at 85
- Apr 23 Charles G. Dawes, Vice President of the United States, recipient of the Nobel Peace Prize (b. 1865)
- Apr 25 Jerzy Fitelberg, composer, dies at 47
- Apr 26 John Alden Carpenter, US composer (Sea Drift), dies at 75
- Apr 26 Arnold Sommerfeld, German physicist (b. 1868)
- Apr 27 Philip Albert Myburgh Hands, cricketer (7 Tests for South Africa), dies
- Apr 29 Jules Verstraete [Julien Gustave de Graef], Flemish actor (rubber, The Three Wishes), dies at 67
- Apr 29 Ludwig Wittgenstein, Austria English philosopher (Philosophical Investigations), dies at 62