In 1966, he moved to Tuzla, SR Bosnia and Herzegovina where he played for Sloboda.

[2] During late 1980s, Vuković was the head coach of Jedinstvo Tuzla led by Razija Mujanović.

[5] Vuković coached his former club Sloboda Tuzla during the 1989–90 Yugoslav League season.

In 1984, Vuković was the head coach for the Yugoslavia U16 women's team at the FIBA European Championship for Cadettes in Italy.

Vuković was the head coach for the Yugoslavia women's national team that won the silver medal at the 1990 FIBA World Championship in Malaysia.