Born in Crimmitschau, Saxony, after his Abitur at a secondary school in Crimmitschau in 1954, Neubert studied school music at the University of Music and Theatre Leipzig from 1954 to 1955 and from 1955 to 1960 sound engineering at the Hochschule für Musik "Hanns Eisler".
From 1965 to 1967 he was its aspirant and acquired the teaching qualification for music theory at the Berlin Musikhochschule.
From 1968 to 1971 he was Meisterschüler [de] for musical composition with Wagner-Régeny and Paul Dessau at the Academy of Arts, Berlin.
Here he directed the series Das Außergewöhnliche Konzert and created the Förderpreis für junge Komponisten und Musikwissenschaftler.
From 2001 to 2005 he composed an oratorio with texts by Karl May and Isaiah, which was premiered in Dresden on 22 November 2006.