Stevanović started playing basketball with Radnički Kragujevac before moving to Partizan.
[1] With Partizan he stayed till 1996 and helped his team to win the EuroLeague in 1992, and three YUBA League championships and Yugoslav Cups.
For the 2000–01 season, he moved to Igokea and helped them to win their first-ever Bosnian League championship.
He later played for FMP and Yambol before finishing his basketball career in 2004 with his hometown club Radnički Zastava.
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