Džudović began his football career in 1999 by joining his first club, Jezero Plav which is a Montenegrin club. They rose to third level in 2001, and a year later and the Second League of FR Yugoslavia. In 2003, Džudović joined another Montenegrin club FK Jedinstvo Bijelo Polje but just making 14 appearance and scoring 2, he left to join Serbian club OFK Beograd in First League of FR Yugoslavia, but made only one appearance and helped the club qualify for the Intertoto Cup, the first time the club qualified for a European Cup in 30 years. In 2004, Džudović left OFK Beograd to join a Ukrainian side Volyn Lutsk and signing a three-year contract with the team. Džudović made his debut in the Ukrainian Premier League was held 27 March 2004 in a victory for the "Volyn" match against Karpaty Lviv. In Spring 2005 in a match against Dynamo Kyiv, Džudović received a serious injury that gave rise to early termination of the contract. In less than three seasons in the "Volyn" Miodrag spent 44 games in which scoring one goal. In 2006, Džudović joined a Russian club Spartak Nalchik, signing a contract with a local club. Miodrag debut in the Russian Premier League took place on 18 March 2006 in the first round match against the CSKA Moscow which they lost 1–0. On 26 March 2006, Džudović scored his first goal for the club and scored in the Premier League against Spartak Moscow in a 2–2 draw. He is Spartak's captain as of 2007. In Opening match of league 2010, Džudović made his 100th appearance for the club against Anzhi Makhachkala which had Džudović t-shirt on the back. In November 2014, Džudović left FC Irtysh Pavlodar after one season with them.
International career
His good performance in Russia led Montenegro manager Zoran Filipović called up Džudović into the squad and eventually he scored his first goal for national team on his debut against Macedonia on 19 November 2008 and also played 90 minutes in the game. Džudović made headlines when Wayne Rooney kicked him during a Euro 2012 qualifier that resulted in a three-game ban for the Manchester United and England national team striker. At first, it was known that Rooney would miss at least one match in the opening round of the first phase at UEFA Euro 2012. After the game with Montenegro, Rooney sent a personal letter to UEFA in which he apologised and expressed regret for the tackle on Džudović which earned him the red card. Džudović also wrote to UEFA and pleaded for Rooney's ban to be reduced.
Personal life
Džudović is married and has three children. One son is called Branko and his daughter's name is Tatjana.
