He was born in Pyeongtaek city, South Korea and was graduated from Dangseo elementary school in Seoul.
He dropped out of Namhae Haesung middle school and went off to Brazil to training in Oscar Soccer Academy.
In 2002, Kwon Jun left to training in Oscar Soccer Academy, São Paulo, Brazil.
On 24 May 2012, he participated in a friendly soccer match with Inter Milan as an Indonesia Premier League All-star.
On 22 December 2012, Kwon joined Persepam Madura United On the last day of transfer window 13 March 2013, Kwon Jun signed with the former champion club BEC Tero Sasana on 20 March 2014, second transfer window in Malaysia League he signed with DRB-Hicom F.C.