Mørk won many prizes for his cello playing. In 1982 he became the first Scandinavian musician to reach the finals of the Tchaikovsky Competition in Moscow and won 6th Prize. In 1989 he started giving concerts in many countries in Europe, then in 1994 the United States with the Oslo Philharmonic, including debuts at Carnegie Hall and the Kennedy Center.
Mørk is a Professor at the Norwegian Academy of Music, Oslo.
Mørk played a cello made by Domenico Montagnana in Venice in 1723 for more than 30 years. The cello’s scroll (the bit at the top) was made by Stradivarius. A Norwegian bank loaned it to him. The instrument was recently bought by the Dkfm. Angelika Prokopp Privatstiftung, which loans it to cellist Harriet Krigjh