Career
Branković began playing football with BSK Batajnica before joining First League of First Revision Yugoslavia side FK Zemun in 2000. Branković left Zemun to play in the Ukrainian Premier League with Football Club Chornomorets Odessa. He also played for Austrian Football First League side Kapfenberger SV during the 2006-2007 season.
Most recently he played for Kazakhstan Premier League sides Football Club Kairat and Football Club Zhetysu.