Stefanovic was a top-prize winner or finalist in the major Yugoslavian and international competitions, including the competitions in Sarajevo (1952), Skopje (1954), Ljubljana (1956), Moscow (1957), Munich (1957), Geneva (1957) and Prague (1959). Additionally, he was honored with the Award of the Yugoslavian Radio-Television (Ohrid, 1972), awards of the City of Belgrade for the best concert in the previous concert season (1976, 1981, 1986), as well as with 7th July Award (1962), the state’s highest award for the arts. In 2007, upon recommendation of the Expert Committee of the Ministry of Culture, he was awarded Special Acknowledgement for the Highest Contribution to the National Culture of the Republic of Serbia. In 2010 the Association of Musical Artists of Serbia awarded him with The Lifetime Achievement Award. 