Marković began his professional career with KK Atlas. From 2006 to 2010 he was member of Hemofarm. Season 2010–11 he spent in Italy playing with Benetton Treviso. In June 2011 he signed a two-years plus an option for a third one contract with Valencia Basket in Spain. In July 2013, negotiations for a new contract fell apart and he became a free agent. In October 2013, he signed a one-year deal with Banvit. On June 27, 2014, Marković signed a two-year deal with Unicaja. On August 13, 2016, Marković signed a one-year deal with Russian club Zenit Saint Petersburg. On June 23, 2017, Marković signed a two-year deal with Russian club Khimki. In 2018–19 season, he averaged 6.1 points, 4.4 assists and 2.1 rebounds in 23.3 minutes of action in the EuroLeague and 6.3 points, 5.0 assists, 3.2 rebounds in VTB United League. On July 18, 2019, Khimki parted ways with Marković. On August 2, 2019, Marković signed a contract with the Italian team Virtus Bologna.
Serbian national team
Marković played with the senior Serbian national basketball team at the EuroBasket 2009, where he won the silver medal. He has been a member of the Serbian national team at the 2010 FIBA World Championship where Serbia was defeated by Lithuania in the game for the bronze medal. He was capped once more for the national team of Serbia at the EuroBasket 2011 in Lithuania where Serbia finished 8th. Marković represented the national basketball at the EuroBasket 2013. He was also a member of the Serbian national basketball team that won the silver medal at the 2014 FIBA Basketball World Cup under new head coach Aleksandar Đorđević. He also represented Serbia at the EuroBasket 2015. In the first phase of the tournament, Serbia dominated in the toughest Group B with 5-0 record, and then eliminated Finland and Czech Republicin the round of 16 and quarterfinal game, respectively. However, they were stopped in the semifinal game by Lithuania with 67–64, and eventually lost to the host team France in the bronze-medal game with 81–68. Over 9 tournament games, Marković averaged 5.1 points, 1.9 rebounds and 2.6 assists per game on 39.1% shooting from the field. Marković also represented Serbia at the 2016 Summer Olympics where they won the silver medal, after losing to the United States in the final game with 96–66. After the tournament, Marković announced his retirement from the national team.
