- Sep 4 Gene Ludwig, American jazz and R&B Hammond B-3 organist (Sonny Stitt, Arthur Prysock), born in Twin Rocks, Pennsylvania (d. 2010)
- Sep 7 Olly Wilson, American composer and founder of TIMARA, born in St. Louis, Missouri (d. 2018)
- Sep 10 Paul Martin Palombo, American composer, born in Pittsburgh, Pennsylvania (d. 1987)
- Sep 11 Iosif Kobzon, Soviet-Russian singer and businessman, born in Chasiv Yar, Ukraine (d. 2018)
- Sep 15 Les Braid, British bassist (Swinging Blue Jeans - "Hippie-Hippie Shake), born in West Derby, Liverpool, England (d. 2005)
- Sep 18 Norman Dinerstein, American composer, born in Springfield, Massachusetts (d. 1982)
- Sep 19 Paul Siebel, American folk singer and songwriter (Louise; Spanish Johnny), born in Buffalo, New York (d. 2022)
- Sep 20 Margo Guryan, American jazz and pop pianist, songwriter, and singer (“I’m on My Way to Saturday”; "Take a Picture"), born in Hempstead, Long Island, New York (d. 2021)
- Sep 20 Monica Zetterlund, Swedish jazz singer (with Bill Evans - "Waltz For Debby"), and actress, born in Hagfors, Sweden (d. 2005)
- Sep 22 Jalal Zolfonun, Iranian composer (Gol-e Sadbarg) and setar player (Persian lute), born in Abadeh, Iran (d. 2012)
- Sep 25 Michael Gibbs, British jazz composer, arranger, and bandleader (Mike Gibbs + 12 play Gil Evans), born in Harare, Southern Rhodesia (now Zimbabwe)
- Sep 25 Thomas Kessler, Swiss composer, and electronic music pioneer, born in Zurich, Switzerland
- Sep 28 Edward Applebaum, American jazz pianist and contemporary classical music composer (The Princess In The Garden), born In Los Angeles, California (d. 2020)
- Sep 30 Valentin Silvestrov, Ukranian pianist and contemporary classical composer (Melodies of Instances; Quiet Songs), born in Kyiv, Ukrainian SSR, USSR (now Ukraine)
About September 1937
How Old? 86 years old
Generation: Silent Generation
Leap Year: No
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