He appeared internationally, such as 1980 in New York's Carnegie Hall, in 1981 at the Vienna State Opera and the Metropolitan Opera in New York. Jung and the rest of the cast received the Grammy Award for Best Opera Recording for their recording of the Jahrhundertring conducted by Pierre Boulez, as Siegfried in both "Siegfried" and "Götterdämmerung" at the 25th Annual Grammy Awards. He was one of few singers who performed all tenor parts in "Der Ring des Nibelungen".