Trygve Seim studied music at Foss videregående skole and attended the Jazz program at the Trondheim Musikkonservatorium, where he completed studies in jazz saxophone. Furthermore he studied composition with leading musicians. 　　Trygve became part of Jon Balke's band Oslo 13 in 1992, and took over the joint leadership of this orchestra in 1994. Now the band is called 1300 Oslo. He is also a member of jazz quartet The Source with Øyvind Brække, Mats Eilertsen and Per Oddvar Johansen. They have made five records and played several concert tours all over Europe and Russia. Recently he has composed music for leading classical musicians.