Giselher Wolfgang Klebe (28 June 1925 – 5 October 2009) was a German composer, and an academic teacher.

He received musical tuition early in his life from his mother, the violinist Gertrud Klebe.

Having convalesced, Klebe continued his music studies in Berlin (1946–1951), first under Josef Rufer, then in master classes by Boris Blacher.

In 1957, Klebe succeeded Wolfgang Fortner as docent for the subjects of Composition and Music Theory at the Hochschule für Musik Detmold.

Lore Klebe wrote the librettos for some of his operas, including Der Jüngste Tag (Doomsday).