1993 : Dannie Heineman Prize for Mathematical Physics (American Physical Society, American Institute of Physics)
1995 : doctorat honoris causa de l'université de Lausanne[1]
2003 : Max-Planck medal (German Physical Society)
Œuvres
Chaos in Classical and Quantum Mechanics, Springer-Verlag (1990).
M. Gutzwiller, Moon-Earth-Sun: The oldest three-body problem, Reviews of Modern Physics, vol. 70, No. 2, (April 1998): excellente revue du problème, citée dans scholarpedia (Three Body Problem)