He is a senior lecturer at the Royal Academy of Music in Stockholm, where he also teaches. He teaches piano at Lilla Akademiens Musikgymnasium and Pre-College.

Johan won first prize in 1997 in St. Charles International Piano Competition in Chicago. He has a doctorate as a pianist at Rice University in the USA in 2000 and did his soloist diploma in 1992 at the Royal Academy of Music in Stockholm. Johan has given concerts in Europe, the USA, Canada, Russia and Hong Kong and has been a guest at most international festivals.

He is the brother of Martin Fröst.