The 1958–59 Yugoslav Cup was the 12th 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.
First round
In the following tables winning teams are marked in bold; teams from outside top level are marked in italic script.