[1] Høffding studied composition under Knud Jeppesen and Thomas Laub, and then under Joseph Marx in Vienna from 1921-22.
From 1931 he also taught at the Royal Danish Academy of Music, where he served as director after 1954.
His pupils include Pelle Gudmundsen-Holmgreen, Vagn Holmboe, Bent Lorentzen, and Leif Thybo.
See: List of music students by teacher: G to J#Finn Høffding.
In addition to composing, Høffding also wrote several theoretical treatises.