- Jun 3 Ted Curson, American jazz tumpeter, born in Philadelphia, Pennsylvania (d. 2012)
- Jun 5 Misha Mengelberg, Dutch jazz pianist and composer (Reconstruction), born in Kiev, Ukrainian Soviet Socialist Republic, USSR (d. 2017)
- Jun 5 Peter Schat, Dutch opera composer (Labyrint, Houdine, Symposion), born in Utrecht, Netherlands (d. 2003)
- Jun 6 Grant Green, American jazz, blues and funk guitarist, and songwriter, born in St. Louis, Missouri (d. 1979)
- Jun 19 Tommy Devito, American rock baritone vocalist and guitarist (Four Seasons - "Sherry"), born in Montclair, New Jersey (d. 2020)
- Jun 24 Jiří Teml, Czech composer (People and Sources Symphony), born in Vimperk, Czechoslovakia
- Jun 24 Terry Riley, American minimalist composer (In C; A Rainbow In Curved Air), born in Colfax, California
- Jun 25 Eddie Floyd, American singer and composer (California Girl, Falcons), born in Montgomery, Alabama
- Jun 25 Kurt Schwertsik, Austrian composer, born in Vienna, Austria
- Jun 29 Johnnie Richardson, American R&B musician (Johnnie & Joe), born in Montgomery, Alabama (d. 1988)
About June 1935
How Old? 88 years old
Generation: Silent Generation
Leap Year: No