Born in Zadar, Austria-Hungary to Serbian father Ljubomir Velebit and Slovenian-Croatian mother Olga Šeme, Vladimir's family had a long military tradition. His father Ljubomir was an officer in the Austro-Hungarian Army, fighting on the Russian front during World War I and later becoming brigadier-general in the Royal Yugoslav Army, while Vladimir's paternal grandfather Dušan Velebit was a general in the Austrian Army who married Elisabeth Marno von Eichenhorst, daughter of another Austrian general Adolf Marno von Eichenhorst. Even Vladimir's great grandfather Ilija Velebit was an officer in the Austrian army.