- Sep 1 Anton Mauve (Jr), Dutch painter, dies at 63
- Sep 2 William Wilkerson, Founder of the Hollywood Reporter, The Flamingo Hotel in Las Vegas and nightclubs such as Ciro's (b. 1890)
- Sep 3 E. E. Cummings [Edward Estlin], American poet (Tulips & Chimneys), dies at 67
- Sep 4 William Clothier, American tennis player (US Nat C'ships 1906; 1st President International Hall of Fame 1954), dies at 80
- Sep 5 Gertrude E. Durden Rush, American composer and playwright (Black Girls Burden). dies at 82
- Sep 6 Hanns Eisler, Austrian composer (East German National Anthem), dies at 64
- Sep 6 Seiichiro Kashio, Japanese tennis player (b. 1892)
- Sep 7 Eiji Yoshikawa, Japanese historical novelist, dies at 70
- Sep 7 Isak Dinesen [Karen Blixen-Finecke], Danish baroness and writer (Out of Africa), dies at 77
- Sep 7 Morris Louis, American painter (post painterly abstraction), dies at 49
- Sep 8 Hermann Staudinger, German chemist (Nobel Prize for Chemistry 1953 for polymers), dies at 84
- Sep 8 Solomon Linda, South African singer and composer ("Mbube" / "The Lion Sleeps Tonight"), dies of kidney failure at 52 or 53 [birth date uncertain]
- Sep 9 Geoffrey Mander, English industrialist (Mander Brothers Ltd.), dies at 80
- Sep 9 Pat Rooney, American vaudevillian (Night club), dies at 82
- Sep 10 Rollin Henry White, American inventor of steam boilers for early automobiles and Cletrac tractors, dies at 90 [1]
- Sep 12 William Frederick Archdall Ellison, Irish clergyman and astronomer (director of the Armagh Observatory), dies at 53
- Sep 14 Marcel Delannoy, French composer, dies at 64
- Sep 16 Saif al-Islam Achmad, monarch of Yemen, dies at about 71
- Sep 18 Therese Neumann, German stigma, dies at 64
- Sep 19 Nikolai Pogodin, Soviet playwright, dies at 61
- Sep 20 Curley Weaver, American blues guitarist, dies of uremia at 56
- Sep 27 Francisco Brochado da Rocha, Brazilian professor and politician (Prime Minister of Brazil 1962), dies at 52
- Sep 29 Patrick Corry, developed self-rotating rock drill, dies in the Bronx
- Sep 29 Robert Burton, American actor (The Big Heat, Compulsion, A Man Called Peter), dies from cancer at 67