 Zimmermann’s best-known works are his sacred motets with plucked double bass, his organ psalms, and his "Prosalieder".Among his chief works are his "Missa profana", the sacred oratorio "The Bible of Spirituals" as well as his "Symphonia sacra".Amongst other honors, Zimmermann has been awarded the Music Prizes of the cities of Stuttgart and Berlin, a Villa Massimo Stipend in 1965/66, and received in 1982 the Johann Sebastian Bach Prize.