Career
Early career
Born in Belgrade, Živković passed the youth school of Red Star Belgrade. Later he was with Resnik and Hajduk Beograd. Borac Čačak
Živković joined Borac Čačak in the winter break off-season 2011-2012.
He made 13 SuperLiga appearances with 10 starts, and also played one cup match until the end of his debut season in club
Foreign the next season, Borac was relegated to the Serbian First League. Foreign two seasons Borac spent in the First League, Živković made 38 league and 4 cup matches and scored 2 goals for the 2012-2013 period, but he missed the spring half of 2013-2014 season.
After Borac promoted to the SuperLiga, Živković contributed with 2 goal on 24 matches to survive in league, after the 2014-2015 season. Foreign the 2015-2016 season, new coach, Nenad Lalatović gave a captain armband to Živković.
During the first half of season, Živković played all 22 league matches and scored 1 goal against Voždovac, from penalty kick.
He sued the club together with Nemanja Miletić and Dušan Jovančić ending of November 2015, over unpaid wages. Čukarički
Živković joined FK Čukarički beginning of 2016.
