Martos was born between Chernigov and Poltava in city of Ichnya and enrolled at the Imperial Academy of Arts between 1764 and 1773.
He executed a large number of marble tombs, which are often regarded as the finest in the history of Russian art.
Enjoying the patronage of the Russian royalty, Martos held a professorship at the Imperial Academy of Arts since 1779 and became its dean in 1814.
His later outdoor sculptures - those of Duke de Richelieu above the Potemkin Stairs in Odessa, Prince Potemkin in Kherson, Alexander I in Taganrog, and Mikhail Lomonosov in Kholmogory - became the symbols of those towns, although modern art critics often compare them unfavorably with his earlier, less bombastic works.
During the Soviet dictatorship Martos's memorial statues - including those of Nikita Panin and his family - were snatched from the cemeteries to be exhibited in the newly set up museums, while his colossal bronze statue of Catherine II, unveiled at the top of the Moscow Nobility Column Hall in 1812, was destroyed altogether.