- Jun 2 Jimmy Jones, American singer-songwriter ("Handy Man"), born in Birmingham, Alabama (d. 2012)
- Jun 3 Grachan Moncur III, American post-bop and modern jazz trombonist and composer (Evolution; Exploration), born in New York City (d. 2022) [1]
- Jun 4 Freddy Fender [Baldemar Huerta], American rock, country and Tejano singer ("Wasted Days And Wasted Nights"; "Before The Next Teardrop Falls"; Texas Tornados - "A Man Can Cry"), born in San Benito, Texas (d. 2006)
- Jun 5 Floyd Butler, American soul singer (Friends of Distinction - "Grazing In The Grass"), born in San Diego, California (d. 1990)
- Jun 7 Neeme Järvi, Estonian-American conductor (Gothenburg Symphony, 1982-2004; Detroit Symphony, 1990-2005; Residentie Orkest, 2005-12), born in Tallinn, Estonia
- Jun 11 Johnny Brown, American stage and screen comic actor (Good Times - "Bookman"; Laugh-In), and singer, born in St. Petersburg, Florida (d. 2022)
- Jun 15 Ray Coleman, British author (biographies of John Lennon, Paul McCartney, Eric Clapton, Brian Epstein, and Phil Collins), and music journalist (Melody Maker), born in Leicester, England (d. 1996)
- Jun 15 Rolf Riehm, German composer (Sirenen, Bilder des Begehrens und des Vernichtens (Sirens, images of desire and destruction)), born in Saarbrücken, Germany
Waylon Jennings (1937-2002)
Jun 15 American country singer and guitarist ("I'm A Ramblin' Man"), born in Littlefield, Texas
- Jun 20 Jerry Keller, American pop singer-songwriter ("Here Comes Summer"), and actor (If Ever I See You Again), born in Fort Smith, Arkansas
- Jun 21 Raphaël Sommer, Czech cellist, and educator, born in Prague, Czechoslovakia (d. 2001)
- Jun 22 Chris Blackwell, English businessman and record producer (Island Records), born in Westminster, London, England
- Jun 23 Niki Sullivan, American guitarist (The Crickets), born in South Gate, California (d. 2004)
- Jun 26 Ruben "Baby" López Furst, Argentine jazz pianist, born in Buenos Aires, Argentina (d. 2000)
About June 1937
How Old? 86 years old
Generation: Silent Generation
Leap Year: No
Country Singers
Jazz Singers
Opera Singers
Pop Singers
Rappers
Rock Singers