| 1929 | Serenade No. 1, op. 1, for ten wind instruments | 待定 | — |
| 1942 | Symphony No. 1 | 待定 | 25' |
| 1942 | Symphony No. 2 | 待定 | 25' |
| 1946 | Symphony No. 3 | 待定 | 25' |
| 1949 | Divertimento for Band, op. 42 | 已确认 | 11' |
| 1950 | Serenade No. 5 for Orchestra, op. 43 | 已确认 | 15' |
| 1951 | Symphony No. 4 | 已确认 | 25' |
| 1952 | Psalm for Band, op. 53 | 已确认 | 8' |
| 1953 | Pageant, op. 59 | 已确认 | 7' |
| 1953 | Symphony No. 5 (Symphony for Strings), op. 61 | 已确认 | 25' |
| 1956 | Symphony No. 6 for band, op. 69 | 已确认 | 17' |
| 1958 | Symphony No. 7 “Liturgical”, op. 80 | 已确认 | 28' |
| 1960 | Serenade No. 11 for Band, op. 85 | 已确认 | 10' |
| 1961 | Bagatelles for Band, op. 87 | 已确认 | 6' |
| 1962 | Chorale Prelude: So Pure the Star, op. 91 | 已确认 | 4' |
| 1963 | Te Deum, op. 93 · 合唱 | 已确认 | 11' |
| 1964 | Introit for String Orchestra, op. 96 | 已确认 | 3' |
| 1965 | Masquerade for Band, op. 102 | 已确认 | 12' |
| 1966 | Celebrations (Cantata No. 3), op. 103 · 合唱 | 已确认 | 23' |
| 1966 | Chorale Prelude: Turn Not Thy Face, op. 105 | 已确认 | 5' |
| 1967 | Symphony No. 8, op. 106 | 已确认 | 30' |
| 1970 | Night Dances, op. 114 | 已确认 | 18' |
| 1970 | Symphony No. 9 “Sinfonia: Janiculum”, op. 113 | 待定 | — |
| 1971 | O Cool Is the Valley, op. 118 | 已确认 | 6' |
| 1972 | A Lincoln Address, op. 124 | 已确认 | 12' |
| 1972 | Parable IX for Band, op. 121 | 已确认 | 16' |
| 1973 | A Lincoln Address, op. 124a (version for narrator and band) | 已确认 | 12' |
| 1984 | Chorale Prelude: O God Unseen, op. 160 | 已确认 | 8' |
| 2025 | Symphony No. 7 “Liturgical” (band transcription by Chris David Westover-Muñoz) | 已确认 | 28' |