After starting his career at Serbian club Jugović, Marković spent three seasons in Hungary with Tatabánya and MKB Veszprém.

At youth level, Marković won two gold medals for Serbia and Montenegro.

[3] A Montenegro international since its inception, Marković participated at the 2008 European Championship in the nation's debut appearance in major tournaments.

After being cleared to play, Marković made his debut for the Qatar national team at the 2015 World Championship, helping them finish as runners-up.

[5] He also won the gold medal at the 2016 Asian Championship and took part in the 2016 Summer Olympics.