Brøndby IF Born in
Nørre Alslev, Kamper made his senior debut for
Brøndby IF in the
2002–03 Danish Superliga season which ended with a runners-up silver medal. He was also a part of the Brøndby team which won the 2003
Danish Cup. The following two years, Kamper missed only three league matches, as he scored 11 goals in 63 league matches, and Kamper was a constant part of the Brøndby team during the
2004–05 Danish Superliga championship winning season. He completed
the Double with the team, as Brøndby also won the 2005 Danish Cup. With the arrival of new signings
Danish international player
Thomas Rasmussen and
Swedish international player
Martin Ericsson, Kamper faced stiff competition for a place in the starting line-up in the
2005–06 Danish Superliga season. He played only 19 of 33 games that season.
Arminia Bielefeld In the summer of 2006, Kamper moved abroad to play for Arminia Bielefeld in the German
Bundesliga championship. In September 2006, Kamper scored his first Bielefeld goal on a
free kick, to win the match against defending Bundesliga champions
Bayern Munich 2–1. He scored six goals in 29 games during his first Bundesliga season. In March 2009, Kamper suffered an injury, and spent two months in recovery. He returned to the team for the last two games of the season, but could not prevent Bielefeld from being
relegated to the German
2. Bundesliga. Under new Bielefeld coach
Thomas Gerstner, Kamper found himself far from the starting line-up. He played only six games during the 2009–10 season, as Bielefeld finished in sixth place, and he was released from the club at the end of his contract.
Randers FC On 3 July 2010, Kamper signed a three-year contract with
Randers FC.
Viborg On 11 June 2015, Kamper signed a one-year contract with
Viborg FF. On 1 April 2016, he extended his contract to June 2018. ==International career==