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