- Jun 1 Jesse Johnson, American funk-rock guitarist (The Time), born in Rock Island, Illinois
- Jun 1 Simon Gallup, British rock bassist (The Cure - "Friday I'm In Love"), born in Duxhurst, Surrey, England
- Jun 2 Tony Hadley, English pop-rock vocalist (Spandau Ballet - "True"), born in Islington, North London. England
- Jun 6 Pelle Alsing, Swedish drummer (Roxette - "Listen to Your Heart"), born in Vantörs Församling, Sweden (d. 2020)
- Jun 6 Steve Vai, American rock guitarist, and composer (Frank Zappa; David Lee Roth Band; Whitesnake), born in Carle Place, New York
- Jun 7 Aldo Brizzi, Italian conductor, and contemporary classical-world fusion composer, born in Alessandria, Italy
- Jun 8 Mick Hucknall, English singer-songwriter (Simply Red "If You Don't Know Me by Now"), born in Manchester, England
- Jun 11 Nick Hallam, British DJ and producer (Stereo MCs - "Connected"), born in Nottingham, England
- Jun 18 West Arkeen, American guitarist and songwriter (for Guns N' Roses - "It's So Easy,"; "The Garden"), born in Neuilly-sur-Seine, France (d. 1997)
- Jun 19 Luke Morley, British rock guitarist (Thunder), born in Chamberwell, London
- Jun 20 John Taylor, English musician (Duran Duran), born in Solihull, Warwickshire
- Jun 22 Arturo O’Farrill, Mexican Latin jazz musician (Four Questions), born in Mexico City
- Jun 23 Donald Harrison, American jazz saxophonist, born in New Orleans, Louisiana
- Jun 23 Tatsuya Uemura, Japanese arcade game musician and programmer, born in Japan
- Jun 25 Zorica Kondža, Croatian pop singer (Stijene), born in Split, Yugoslavia
- Jun 26 Richard Cottle, Welsh session and touring keyboardist (Alan Parsons Project, Tina Turner), and television composer, born in Swansea, Wales
- Jun 26 Zachary Breaux, American jazz guitarist, born in Port Arthur, Texas (d. 1997)
- Jun 29 "The Caveman" Kevin Shirley, South African music producer and mixer (Journey, Iron Maiden, Europe, Led Zeppelin), born in Johannesburg, South Africa
- Jun 30 Brendan O'Brien, American Grammy Award-winning sound engineer and record producer (Pearl Jam, Stone Temple Pilots, Rage Against the Machine, Chris Cornell, and Bruce Springsteen), born in Atlanta, Georgia
- Jun 30 Murray Cook, Australian children's singer (The Wiggles), born in Cowra, New South Wales, Australia
About June 1960
How Old? 63 years old
Generation: Baby Boomer
Leap Year: Yes
Country Singers
Jazz Singers
Opera Singers
Pop Singers
Rappers
Rock Singers