- Jun 4 Simeon Coxe, American songwriter, singer and psychedelic synthesizer player (Silver Apples), born in Knoxville, Tennessee (d. 2020)
- Jun 7 Idris Sardi, Indonesian violinist and composer, noted for his film scores, born in Jakarta, Indonesia (d. 2014)
- Jun 9 Charles Wuorinen, American contemporary classical pianist, conductor, and Pulitzer Prize-winning composer (Time's Encomium; Marimba Variations; Brokeback Mountain), born in New York City (d. 2020)
- Jun 13 Gwynne Howell, Welsh operatic bass, born in Gorseinon, Wales
- Jun 14 Julie Felix, American-born British-based folk-rock singer-songwriter, and BBC presenter (The Frost Report; Once More With Felix), born in Santa Barbara, California (d. 2020)
- Jun 15 Aron Burton, American electric and Chicago blues bass guitarist, singer, and songwriter, born in Senatobia, Mississippi (d. 2016)
- Jun 15 Tony Oxley, British free-jazz and avant-garde drummer, born in Sheffield, England
- Jun 16 Mickie Finn [Barbara Soetje], American banjo player, and TV hostess (Mickie Finn's), born in Hugo, Oklahoma
- Jun 16 Robert Gutter, American conductor and teacher (founded International Institute for Conductors, 1996), born in New York City (d. 2017)
- Jun 17 Grethe Ingmann (née Clemmensen), Danish pop singer (Eurovision, 1963), born in Copenhagen, Denmark (d. 1990)
- Jun 18 Don "Sugarcane" Harris, American rock guitarist and electric violin pioneer (Don & Dewey; Frank Zappa), born in Pasadena, California (d. 1999)
- Jun 20 Mickie Most [Michael Hayes], British record producer (Herman's Hermits, The Nashville Teens, Donovan, Lulu), born in Aldershot, Hampshire, England (d. 2003)
- Jun 20 Nikolay Martynov, Soviet Russian composer and musicologist, born in Leningrad, USSR (now Saint Petersburg, Russia)
- Jun 23 Alan Vega [Bermowitz] American punk rock vocalist (Suicide - "Ghost Rider"; "Dream Baby Dream"; Cubist Blues), and visual artist, born in Brooklyn, New York (d. 2016)
- Jun 24 Lowell Cross, American electronic music composer, instrument maker and laser light show inventor, born in Kingsville, Texas
- Jun 26 Billy Davis Jr, American pop singer (5th Dimension - "Up, Up And Away"), born in St Louis, Missouri
- Jun 27 Tommy Cannon [Derbyshire], English comedian and singer ("Cannon and Ball"), born in Oldham, Lancashire, England
- Jun 29 Billy Storm [Spicer], American singer (Valiants - "This Is The Night"), born in Dayton, Ohio (d. 2000)
- Jun 30 Apostolos Nikolaidis, Greek folk singer (first Greek artist to record or re-record the authentic, "prohibited" rebetika songs in the early 1970s with their original lyrics), born in Drama, Greece (d. 1999)
- Jun 30 Chris Hinze, Dutch flutist (Vivat Vivaldi), born in Hilversum, North Holland, Netherlands
About June 1938
How Old? 85 years old
Generation: Silent Generation
Leap Year: No