Born in Belgrade, Kingdom of Yugoslavia (present day Serbia) in a family of amateur musicians, he began his musical studies at the age of five (violin, piano and, later, clarinet).

Stefanović graduated from the Belgrade Music Academy, as a student of Professor Bruno Brun, the founder of modern Serbian school of clarinet playing (1957).

Additionally, he studied chamber and orchestral playing in Salzburg, Austria in the class of Igor Markevich, Erich Leinsdorf and Fernand Oubradous.

In 2011, at the ClarinetFest® in Northridge, California, the membership of the International Clarinet Association unanimously voted Stefanović to become an Honorary Member.

As a soloist, chamber and orchestral musician he has collaborated with Yugoslavian and international artists, including Sir Malcolm Sargent, Sir John Barbirolli, Herbert von Karajan, Lorin Maazel, Leopold Stokowski, Kirill Kondrashin, Igor Markevitch, Bernard Keeffe, Francesco Mander, Marcus Dods, Jerzy Katlewicz, Jovan Šajnović, Borislav Pašćan, Uroš Lajovic, Anton Kolar, Anton Nanut, Vančo Čavdarski, Živojin Zdravković, Oskar Danon, Dušan Skovran, Djura Jakšić, Mladen Jagušt, Julio Marić, Franc Klinar, Sandro Zaninović, Roman Skrepek, Lambra Dimitrijević, Eric Hope, Evgeni Koroliov, Michel Dussault, Andreja Preger, Nikola Rackov, Aleksandar Pavlović, Viktor Jakovčić, Zorica Dimitrijević-Stošić, Mirjana Kršljanin, Aleksandar Lekovski, Zbigniew Chwedczuk, Josef Daniel, Oivin Fjeldstad, Bogo Leskovic, Petr Vronsky, Freddy Došek, Milan Horvat, Stanko Šepić, Bogdan Babić, Dušan Miladinović, O. Pipek, Božidar Tumpej, Jasmina Chakar, Vojislav Simić, The Zagreb Soloists, The Belgrade Trio, The Serbian String Quartet, Zagreb Quartet and many others.

[4][13][14][80][81][82][83][59][84][85][11][23][26][28][30][31][32][36][12][40][86][87][2] He recorded for the radio and television stations in Yugoslavia and abroad (Moscow, Rome, Paris, London, Berlin...[4][6][7][14][88][89][90][91][92][59][10][63][64][85][65][66][11][93][94][70][40][95] A number of Yugoslavian composers Aleksandar Obradović, Petar Bergamo, Dušan Radić, Miodrag Ilić, Petar Ozgijan, Dejan Despić, and others dedicated to him their works.

His former students hold teaching positions in music schools and universities and play in orchestras in Europe, Asia, Australia and North America.

[4][6][7][10][11][26][131][132][32][35]ref name="Ad libitum"/>[70][41][42][43][44][2] Stefanović taught at the University of Priština Faculty of Arts from 1975, when he was one of the founders of its Music Division, until 2009.