Graduated from the Faculty of Music in Belgrade, with degrees in piano, composition and conducting. During his studies he was four times awarded as a student with the best average grade.

He founded the chamber ensemble Sinfonietta and the Madrigal choir of the Faculty of Music in Belgrade, of which he is the chief conductor and art director. He is a full-time professor at the same faculty, and the president of the Association of Serbian Choirs of Fatherland and Diaspora.

His oeuvre consists of choral and chamber works (piano, violin, cello, violin and piano, cello and piano, string duo, string trio, piano trio, string quartet), and compositions for chamber and symphonic orchestra. His works have been printed in the USA, Germany, Italy, Hungary and Serbia. The exclusive publisher of Vujić’s choral pieces is Synkope Verlag from Germany.

His work as a composer brought him several international awards – 1993 Third Prize at the International Choral Competition in Trento, Italy; 1995 First and Third Awards at the “Robert Schumann” International Choral Competition in Zwickau, Germany; 2002 Gold Medal at the Second Choir Olympics in Busan, South Korea; 2009 Gold Medal at the International Choral Competition in Budapest, Hungary.