Moebius studied art in Brussels and Berlin and met there Hans-Joachim Roedelius and Conrad Schnitzler(Tangerine Dream). They founded a band Kluster in 1969. After the departure of Schnitzler, they changed their name to Cluster. Later Moebius and Roedelius founded the band Harmonia with Michael Rother (Neu!), which also collaborated with Brian Eno.
Dieter Moebius was involved into numerous projects with such musicians as Conny Plank, Mani Neumeier (Guru Guru).Moebius toured with Michael Rother as Rother & Moebius in 2007. Additionally, on 27 November 2007, a Harmonia reunion concert was held in Haus der Kulturen der Welt, Berlin, where the band performed together live for the first time since 1976.