Manfred Hartl. On automorphism groups of torsion-free nilpotent groups. Abstract : Automorphism groups of finitely generated torsion-free nilpotent groups $G$ are determined in terms of iterated group extensions with lifting obstructions. Both are calculated in terms of polynomial constructions in the sense of Passi; in particular all terms arising are explicitly computable from a given presentation of $G$. For free nilpotent groups of a given class the results take a particularly simple form.