He was born in Sarajevo, PR Bosnia and Herzegovina, FPR Yugoslavia in 1946 to Ferid "Fićo" (1910–1986) and Nataša (née Zimonjić).

[3] In 1963, at the age of 17, while playing for RK Bosna Sarajevo he helped win the Yugoslav Handball Cup.

[2] Čengić was killed on Grbavica on 14 June 1992 by Veselin Vlahović after he tried to protect his Bosniak neighbor, Husnija Ćerimagić.

Nine years after his murder, Čengić's remains were found and interred in Sarajevo's Bare Cemetery.

[5] In 2006, RK Bosna Sarajevo began holding the Goran Čengić Memorial Tournament in his honor.