Cellist Chul Hur entered and graduated from the Vienna University of Music and Performing Arts as the youngest top student and studied under world-renowned maestro Wolfgang Boettcher, former principal cellist of the Berlin Philharmonic, and Boris Pergamenschikow. Later, he was selected by Gustav Rivinius of the Saarbrücken University of Music and graduated with unanimous top honors in the highest performer course. During his studies, he consecutively won awards at the Lichen Cello International Competition, Brahms International Competition, Vittorio International Competition, and Gizeking Competition, building his reputation in Europe. He demonstrated his prowess by being a semi-finalist at the Rostropovich and Munich International Competitions and successfully replaced the ailing Boris Pergamenschikow in a trio with world-renowned clarinetist Eduard Brunner and pianist Hartmut Höll at the Stuttgart Liederhalle, which led to regular performances with global musicians. His partners include flutist Roswitha Staege, pianist Hartmut Höll, violinist Christian Tetzlaff, cellist Gustav Rivinius, Boris Pergamenschikow, clarinetist Eduard Brunner, the Artis Quartet, and the Amarillis Quartet.

He was selected as a scholar of Germany's Villa Musica and collaborated with maestros such as Thomas Brandis, Ingo Goritzki, Dirk Janssen, Wolfram Christ, and the Demenga brothers. He has performed as a guest cellist with the Berlin Philharmonic, Stuttgart Radio Symphony Orchestra, Freiburg Baden-Baden Radio Symphony Orchestra, and the Saarbrücken Radio Symphony Orchestra. He has been invited to perform as a soloist and chamber musician in New York, LA, Madrid, Barcelona, Berlin, Vienna, Stuttgart, Munich, Prague, Budapest, Stockholm, Salzburg, Paris, and Rome. After returning to Korea, he has been active as a soloist and chamber musician, performing approximately 70 concerts annually and served as the principal cellist of the Gyeonggi Philharmonic Orchestra.

He has also been a guest principal for the Seoul Philharmonic Orchestra, Busan Philharmonic Orchestra, Daejeon Philharmonic Orchestra, Cheongju Philharmonic Orchestra, Gwacheon Philharmonic Orchestra, and Eurasian Philharmonic Orchestra. He is a member of the Ensemble TIMF, Korea Festival Ensemble, Ensemble Yulim, Seoul Soloists Cello Ensemble, and Hwaum Chamber Orchestra. He has been invited to perform at the Romania Bacau Music Festival, Darmstadt International Music Festival, Hong Kong International Arts Festival, Belgium Clara Festival, Salzburg International Music Festival, Münster International Music Festival, and Warsaw Autumn in Poland. Additionally, he has been invited to perform as a soloist with the Seoul Philharmonic Orchestra, Daejeon Philharmonic Orchestra, Cheongju Philharmonic Orchestra, Chungnam Provincial Symphony Orchestra, Gyeonggi Philharmonic Orchestra, Eurasian Philharmonic Orchestra, Gangnam Symphony Orchestra, Seoul Tutti Orchestra, Ensemble TIMF, London Sinfonietta, Munich Chamber Orchestra, Sarabia Symphony, New Budapest Symphony, and Collegium Musicum Saar.

Currently, he is an invited professor at Gangnam University and a guest principal of the Bucheon Philharmonic Orchestra and Cheongju Philharmonic Orchestra. He is also a member of the Ensemble TIMF, Korea Festival Ensemble, Hwaum Chamber Orchestra, Seoul Soloists Cello Ensemble, and plays a 1730 Carlo Bergonzi cello.