In 1979, he was awarded a CNRS Bronze Medal. He received the Prix J. Ponti in 1985 and the Prix Ampère in 1993. Since 2001, he is member of the French Academy of Sciences. In 1983, he was invited speaker at the International Congress of Mathematicians (ICM) in Warsaw.
- Ch. Soulé, D. Abramovich, J.F. Burnol, J. Kramer: Lectures on Arakelov Geometry. Cambridge Studies in Advanced Mathematics 33. Cambridge University Press, 1992.
- Henri Gillet, Ch. Soulé: An arithmetic Riemann–Roch Theorem, Inventiones Mathematicae 110, 1992, pp. 473–543.