Jean-Michel Bony (French pronunciation: [ʒɑ̃ miʃɛl bɔni]; born 1 February 1942 in Paris) is a French mathematician, specializing in mathematical analysis.

Bony completed his undergraduate and graduate studies at the École Normale Supérieure, where he received his Ph.D in 1972 with thesis advisor Gustave Choquet.

Bony's research deals with microlocal analysis, partial differential equations and potential theory.

In 1981 he published important results on paradifferential operators, extending the theory of pseudifferential operators published by Ronald Coifman and Yves Meyer in 1979.

[2][3] Bony applied his theory to the propagation of singularities in solutions of semilinear wave equations.