[1] Born in Belgrade,[2] Cvetković joined FK Zemun in 2005, where he ended youth career and later started playing professional football.

Cvetković made his senior debut on 10 November 2007 at the age of 17, replacing Boško Čvorkov in the second half of match against RFK Novi Sad.

[2] Miloš joined FK Rad in summer 2011, but he was loaned to Palić a shortly after, where he spent the first half of the 2011–12 season.

After Marko Petković's injury,[7] Cvetković joined Red Star Belgrade by Nenad Lalatović's recommendation.

Despite a defeat, he was one of the better players in the defense line at home debacle match against Ludogorets Razgrad in 2nd leg of the 2016–17 UEFA Champions League third qualifying round.