Starting his career in Halmstads BK youth team, he was raised up to the senior team in 2003 and debuted against GIF Sundsvall in the premier game of the season, coming on as a substitute. Prior to the 2004 season, he had established himself as a player in the starting line-up and aided the club to become runner-up, two points behind Malmö FF. Djuric continued on as a starting player during the poor season of 2005, as Halmstads BK qualified for the 2005–06 UEFA Cup group stage, in which Djuric became the only goalscorer for the club, against Sampdoria. During the following seasons he started mainly as a midfielder but gradually stept up to become a forward.
Following the UEFA Cup in 2005, Djuric attracted the attention of bigger clubs in Europe, such as Sporting CP, Real Sociedad and Anderlecht, however, he signed a contract with Swiss club Zürich on 7 January 2008.
Djuric gained somewhat instant glory at Zürich, following a goal against Milan on San Siro in the 2008–09 UEFA Cup first round, however, Milan won both matches with 4–1 totally. Djuric helpt Zürich win the 2008–09 season and then scored twice during the qualification rounds to the 2009–10 UEFA Champions League. Djuric playing in Zürich didn't go unnoticed and it was soon speculation once again that he would move to various clubs, among them Fiorentina, Montpellier and Valenciennes.
On 13 January 2012, Valenciennes confirmed that they had signed him on a three-and a half-year-contract. After struggling with injuries, he joined Danish club Odense on loan for the 2013–14 season.
At the end of the 2013–14 season, Djuric signed a one-year deal for Swiss club FC Aarau for an undisclosed fee.
Djuric made his debut for Sweden's U-21 team in 2004 against Portugals U-21 team on 17 February. He was also part of Sweden's squad to the 2004 UEFA European U-21 Championship, which ended in 4th place.
Djuric where called up to Sweden's national team prior to its January tour in United States in 2005, being placed on the bench against South Korea, he came on as a substitute against Mexico.
Of Serb descent, his parents are from Loznica, Serbia.Zürich
Swiss Super League: 2008–09