[1] After signing his first professional contract with Partizan in June 2003,[2] Radović was promoted to the senior squad under manager Lothar Matthäus during the 2003–04 campaign.

He also made his UEFA Champions League debut that season, coming on as a substitute for Milivoje Ćirković in a 2–1 away loss against Porto on 26 November 2003.

In the following season, Radović won his first trophy with Legia by beating Wisła Kraków in the 2007–08 Polish Cup final after penalties.

[7] He scored both of his team's goals in a 2–2 home draw with Spartak Moscow in the first leg of the UEFA Europa League play-off round on 18 August 2011.

On 16 July 2014, Radović scored a 90th minute equalizer in a 1–1 draw with St Patrick's Athletic in the first leg of the UEFA Champions League second qualifying round.

[20] On 14 July 2016, Radović made his second debut for Partizan, playing the full 90 minutes in a 0–0 home draw with Zagłębie Lubin in the first leg of the UEFA Europa League second qualifying round.

On 31 August 2016, Radović left Partizan, spending less than three months in his second tenure at the club, and returned to Legia Warsaw on a two-year deal.

Radović made his debut for the Serbia and Montenegro national under-21 team in their successful qualifying campaign for the 2006 UEFA European Championship.

In September 2006, Radović played for the Serbia national under-21 team at the start of the qualifications for the 2007 UEFA European Championship, but again missed out on the final tournament.