Živković began his career with FK Radnički Niš, where he played from 1993 to 1994. He played for FK Partizan Belgrade and FK Rad Belgrade. 2000 he followed a
contract to Júbilo Iwata Japan. He contributed in 2002 to win the J1 League. Živković returned in 2004 back to Serbia to play for FK Obilić, OFK Belgrade and FK Voždovac. 2006 he signed for a China
Superleague Team Shandong Luneng Taishan. He won with Shandong the Chinese Super League in 2006 and 2008. In 2008 he played in China for his country Serbia at he olympic games. His Career he
continued in China for Shenzhen Ruby and Guangzhou R & F.