- Jun 1 Jason Donovan, Australian actor (Neighbours) and pop singer ("Too Many Broken Hearts"; "Waiting for a Star To Fall"), born in Malvern, Victoria, Australia
- Jun 3 Saffron [Samantha Sprackling], Nigerian-British singer (Republica), born in Lagos, Nigeria
- Jun 4 Al B. Sure! [Albert Joseph Brown III], American R&B singer-songwriter (In Effect Mode - "Nite And Day"), born in Boston, Massachusetts
- Jun 6 Alan Licht, American avant garde and pop guitarist, composer, and journalist, born in New Jersey
- Jun 10 The D.O.C. [Tracy Curry], American rapper and producer (N.W.A.), born in Dallas, Texas
- Jun 12 Bobby Sheehan, American bassist (Blues Traveler - "Run-Around"), born in Summit, New Jersey (d. 1999)
- Jun 13 David Gray, British singer-songwriter, and guitarist (White Ladder), born in Sale, Cheshire
- Jun 13 [Denise] Deniece Pearson, English singer-songwriter (Five Star), born in Islington, London
- Jun 21 (Reginald) "Jett" Pangan, Filipino Pinoy rock singer and guitarist (The Dawn), and actor, born in Manila, Philippines
- Jun 21 Sonique [Sonia Marina Clarke], British musician and DJ, born in London
- Jun 28 Chayanne [Elmer Figueroa Arce], Puerto Rican singer, born in Río Piedras, Puerto Rico
- Jun 30 Philip Anselmo, American heavy metal musician (Pantera), born in New Orleans, Louisiana
About June 1968
How Old? 55 years old
Generation: Generation X
Leap Year: Yes