His notable works include Anahata, Symphony No. 2, and Black Magic/White Magic (1981), a collaboration with his wife, poet Nanine Valen. Numerous CDs of his music have been released, and his scores are published by Theodore Presser.
He has taught music at Swarthmore College since 1977. His works have previously been performed by orchestras such as the Philadelphia Orchestra and the Los Angeles Philharmonic. A new work for organ and orchestra by Levinson was premiered by the Philadelphia Orchestra in its 2005–2006 season. He has two children, Adam Valen Levinson, and Ari Valen Levinson.