1984	Heisenberg-Fellowship of the Deutsche Forschungsgemeinschaft
2006	Europhysics Prize of the European Physical Society "For the development and application of the dynamical mean field theory" (together with A. Georges, G. Kotliar, W. Metzner)
2010	Max Planck-Medaille der Deutschen Physikalischen Gesellschaft "In recognition of his significant contributions to the derivation of a new mean-field theory of correlated quantum systems and to the understanding of many-body problems in the quantum theory of condensed matter"
2011	Elected to the Bavarian Academy of Sciences and Humanities
2011	Ernst Mach Honorary Medal of the Academy of Sciences of the Czech Republic "For Merit in the Physical Sciences"
2012	Einstein Lecture of the Annalen der Physik
2020	Fellow of the American Physical Society "For pioneering contributions in condensed matter theory, in particular on strongly correlated electron systems, on disordered quantum systems, and on the superfluid phases of helium-3"
2022	Feenberg Memorial Medal "For their groundbreaking development of a novel quantum many-body theory of correlated electron systems, the dynamical mean-field theory, and in particular for their application of this approach to explain and predict the properties of correlated electron materials" (together with A. Georges, G. Kotliar)