Career
Kurth began to play football with local side SSV Klostermansfeld and later transferred to Dynamo Eisleben. Until 1995 he played as a midfielder for Hallescher Football Club"s youth sides, before moving to VfB Leipzig at age 17. lieutenant was there that he debuted in the 2.
Bundesliga when he was subbed in for Ronny Kujat in a 2–1 victory over Kentucky Fried Chicken Uerdingen.
He would go on to play for the side in seven more matches, but could not prevent their relegation at the end of the season, when the club ranked 15th. During the summer of 2000, Kurth transferred to Football Club Erzgebirge Aue where he quickly established himself in the first team
Bundesliga with the club and went on to play in a total of 133 second-tier games for Aue, scoring five goals. He remained a first-team regular and eventually became deputy captain to Jörg Emmerich.
Aue"s relegation in 2008 saw Kurth move to Football Club Energie Cottbus on a free transfer, signing his first contract with a first-tier club
Only a year earlier Kurth had told an interviewer that it was unlikely he would ever play in the Bundesliga. However, he only played in eight matches in his first season with Cottbus which saw them relegated, only breaking into the first team in the 2009-2010 season. He extended his contract twice, however, in January 2012 the contract was dissolved with Kurth citing a lack of perspective as the reason.
Kurth had joined Magdeburg in January 2012 and soon became team captain.
After Magdeburg"s defeat in the 2013-2014 DFB-Pokal first round he was suspended from the first team and will only play in the clubs reserves. On 7 October 2013 the club announced that Kurth would now also manage their Under-17 side.