Ivan Georgiyevich Petrovsky (Russian: Ива́н Гео́ргиевич Петро́вский; 18 January 1901 – 15 January 1973) was a Soviet mathematician working mainly in the field of partial differential equations.

He greatly contributed to the solution of Hilbert's 19th and 16th problems, and discovered what are now called Petrovsky lacunas.

He also worked on the theories of boundary value problems, probability, and on the topology of algebraic curves and surfaces.

He was a member of the Academy of Sciences of the Soviet Union since 1946 and was awarded Hero of Socialist Labour in 1969.

He died in Moscow, and was buried in the Novodevichy Cemetery.