From 1957 to 1960 he was arts director at the Theatre of Friendship in Berlin and from 1961 kapellmeister and composer at the German Theatre.
The composers of his generation (Friedrich Goldmann, Georg Katzer und Friedrich Schenker) broke with socialist realism and closed the gap to western Avant-garde music.
In 1978 Bredemeyer became a member of the Academy of Arts and in 1988 he was appointed professor.
Until 1989 he served as a board member of the GDR's composers' and musicologists' union.
Bredemeyer died in Berlin.
His grave is at Cemetery Pankow III, where many renown German artists are buried.
His oeuvre includes more than 600 works (of which around 300 are for theatre, film and audio drama), many of which have still not been performed in concert.