Edmund Varney (June 6, 1778 in Amenia, Dutchess County, New York – December 2, 1847 in Russia, Herkimer County, New York) was an American farmer and politician from New York.
He was Clerk of the Town of Russia from 1817 to 1820, in 1822, 1824 and 1828; and Supervisor from 1829 to 1834.
In 1823, he was appointed Associate Judge of the Herkimer County Court.
He was a member of the New York State Assembly (Herkimer Co.) in 1826.
He was buried at the Gravesville Cemetery in Russia NY.