* Hero of Socialist Labour - 1965
* Order of Lenin, three times
* Order of the Red Banner of Labour, three times
* Lenin Prize (1931)
* Stalin Prize, three times (1941, 1949, 1952)
Frumkin was nominated for Nobel Prize in Chemistry in 1946, 1962, 1963, 1964, 1965 and 1966, but he did not receive the Prize.