| 1943 | Concerto No. 1 for Horn and Orchestra | nieokr. | 22' |
| 1944 | Six Early Songs | nieokr. | 18' |
| 1945 | Concerto for Cello and Orchestra | Potwierdzone | 18' |
| 1945 | Vertige d’Eros | nieokr. | 14' |
| 1947 | Symphonic Study | nieokr. | 9' |
| 1948 | Jumpin’ in the Future | nieokr. | 5' |
| 1950 | Symphony for Brass and Percussion | Potwierdzone | 18' |
| 1951 | Dramatic Overture | Potwierdzone | 9' |
| 1954 | Recitative and Rondo | nieokr. | 11' |
| 1956 | Transformation | nieokr. | 6' |
| 1957 | Little Fantasy | nieokr. | 4' |
| 1958 | Spectra | Potwierdzone | 23' |
| 1959 | Seven Studies on Themes of Paul Klee | Potwierdzone | 20' |
| 1960 | Lines and Contrasts | nieokr. | 10' |
| 1960 | Variants | Potwierdzone | 18' |
| 1960 | Variants on a Theme of Thelonious Monk | nieokr. | 15' |
| 1961 | Contrasts for Wind Quintet and Orchestra | Potwierdzone | 15' |
| 1961 | Double Quintet for Wind and Brass Quintets | Potwierdzone | 12' |
| 1962 | Automation (music for a real or imagined film score) | Potwierdzone | 7' |
| 1962 | Concerto for Piano No. 1 | Potwierdzone | 22' |
| 1962 | Journey into Jazz | nieokr. | 15' |
| 1962 | Journey to the Stars | Potwierdzone | 15' |
| 1962 | Movements | nieokr. | 14' |
| 1962 | Six Renaissance Lyrics | Potwierdzone | 15' |
| 1963 | Composition in Three Parts | nieokr. | 16' |
| 1963 | Meditation for Concert Band | nieokr. | 6' |
| 1963 | Threnos | Potwierdzone | 18' |
| 1964 | Diptych for Brass Quintet and Concert Band | nieokr. | 8' |
| 1964 | Diptych for Brass Quintet and Orchestra | nieokr. | 8' |
| 1964 | Five Bagatelles | nieokr. | 14' |
| 1964 | Five Shakespearean Songs | nieokr. | 15' |
| 1965 | American Triptych | Potwierdzone | 14' |
| 1965 | Symphony | Potwierdzone | 22' |
| 1966 | Concerto for Orchestra No. 1 [Gala Music] | Potwierdzone | 25' |
| 1966 | Five Etudes | Potwierdzone | 14' |
| 1966 | Sacred Cantata (Psalm 98) · chór | Potwierdzone | 19' |
| 1966 | Study in Textures for Concert Band | nieokr. | 7' |
| 1966 | The Visitation · opera · chór | nieokr. | — |
| 1967 | Tear Drop | nieokr. | 12' |
| 1967 | Triplum I | Potwierdzone | 17' |
| 1968 | Concerto for Doublebass and Chamber Orchestra | Potwierdzone | 16' |
| 1968 | Fanfare for St. Louis | nieokr. | 6' |
| 1969 | Consequents | Potwierdzone | 17' |
| 1969 | Shapes and Designs | Potwierdzone | 14' |
| 1970 | Museum Piece for Renaissance Instruments and Orchestra | nieokr. | 19' |
| 1970 | The Fisherman and His Wife · opera | nieokr. | 60' |
| 1970 | The Visitation, Suite from the Opera | Potwierdzone | 41' |
| 1971 | A Medieval Christmas | nieokr. | 46' |
| 1971 | Concertino da camera | Potwierdzone | 16' |
| 1971 | The Power Within Us, Oratorio · chór | Potwierdzone | 25' |
| 1972 | Capriccio Stravagante | Potwierdzone | 19' |
| 1972 | Poems of Time and Eternity · chór | Potwierdzone | 13' |
| 1972 | Tre invenzioni for Chamber Ensembles | nieokr. | 18' |
| 1973 | Three Nocturnes | Potwierdzone | 15' |
| 1975 | Concerto for Horn No. 2 | Potwierdzone | 17' |
| 1975 | Four Soundscapes [Hudson Valley Reminiscences] | nieokr. | 15' |
| 1975 | Triplum II [Three Lyric Pieces for Instrumental Trios] | Potwierdzone | 20' |
| 1976 | Concerto for Orchestra No. 2 | Potwierdzone | 22' |
| 1976 | Concerto for Violin | nieokr. | 22' |
| 1978 | Concerto for Contrabassoon | Potwierdzone | 23' |
| 1978 | Deaï (Encounters) | nieokr. | 35' |
| 1979 | Concerto for Trumpet | nieokr. | 22' |
| 1979 | Octet | Potwierdzone | 40' |
| 1980 | Eine Kleine Posaunenmusik | nieokr. | 16' |
| 1980 | Music for a Celebration · chór | nieokr. | 6' |
| 1981 | Concerto for Piano No. 2 | Potwierdzone | 30' |
| 1981 | In Praise of Winds, Symphony for Large Wind Orchestra | nieokr. | 25' |
| 1983 | Concerto for Alto Saxophone | Potwierdzone | 19' |
| 1984 | Concerto Festivo for Brass Quintet and Orchestra | Potwierdzone | 20' |
| 1984 | Concerto Quaternio for Four Solo Instruments and Four Orchestral Groups | nieokr. | 20' |
| 1984 | Jubilee Music | Potwierdzone | 24' |
| 1985 | Concerto for Bassoon and Orchestra [Eine Kleine Fagottmusik] | Potwierdzone | 22' |
| 1985 | Concerto for Viola | Potwierdzone | 18' |
| 1985 | Farbenspiel [Concerto for Orchestra No. 3] | Potwierdzone | 25' |
| 1987 | Thou Art the Son of God · chór | Potwierdzone | 10' |
| 1988 | Chimeric Images | Potwierdzone | 15' |
| 1988 | Concerto for Flute and Orchestra | Potwierdzone | 16' |
| 1988 | Concerto for String Quartet and Orchestra | nieokr. | 22' |
| 1989 | Chamber Symphony | Potwierdzone | 14' |
| 1989 | On Winged Flight | nieokr. | 13' |
| 1989 | The Trial | Potwierdzone | 20' |
| 1990 | Concerto for Piano Three Hands (Two Pianos and Chamber Orchestra) | Potwierdzone | 25' |
| 1990 | Hommage à Rayechka | nieokr. | 8' |
| 1990 | Song and Dance | nieokr. | 16' |
| 1991 | Concerto for Violin No. 2 | Potwierdzone | 26' |
| 1992 | And They All Played Ragtime | Potwierdzone | 20' |
| 1992 | Festive Music | Potwierdzone | 4' |
| 1993 | Of Reminiscences and Reflections | Potwierdzone | 20' |
| 1993 | Ritmica-Melodica-Armonia | Potwierdzone | 15' |
| 1994 | Concerto for Organ and Orchestra | Potwierdzone | 15' |
| 1994 | Headin’ Out, Movin’ In | nieokr. | 12' |
| 1994 | Lament for M | Potwierdzone | 6' |
| 1994 | Mondrian’s Vision · chór | nieokr. | 15' |
| 1994 | The Past is in the Present | Potwierdzone | 25' |
| 1996 | An Arc Ascending | Potwierdzone | 9' |
| 1997 | Blue Dawn into White Heat | nieokr. | 10' |
| 1997 | Bright and Sassy | nieokr. | 6' |
| 1998 | The Black Warrior · chór | nieokr. | 25' |
| 2002 | Concerto da camera No. 2 | nieokr. | 23' |
| 2003 | Encounters | nieokr. | 23' |
| 2005 | Grand Concerto for Percussion and Keyboards | Potwierdzone | 23' |
| 2007 | Where the Word Ends | Potwierdzone | 25' |
| 2008 | Concerto for Tuba and Orchestra No. 2 | Potwierdzone | 20' |
| 2010 | Bagatelle: With Swing | Potwierdzone | 3' |
| 2012 | Dreamscape | Potwierdzone | 12' |
| 2012 | Symphonic Images | Potwierdzone | 16' |
| 2013 | Games | Potwierdzone | 10' |
| 2014 | Magical Trumpets | nieokr. | — |