The 1978–79 Yugoslav Cup was the 31st season of the top football knockout competition in SFR Yugoslavia, the Yugoslav Cup (Serbo-Croatian: Kup Jugoslavije), also known as the "Marshal Tito Cup" (Kup Maršala Tita), since its establishment in 1946. It was won by NK Rijeka, who successfully managed to defend the title having won the 1977–78 Yugoslav Cup.
Rijeka win 2–1 on aggregate.