Henry Olin (May 7, 1768 – August 16, 1837) was the nephew of Gideon Olin and a United States politician and US representative from Vermont. Born in Shaftsbury, Vermont on May 7, 1768, he studied law, was admitted to the bar and practiced as a lawyer. He moved to Leicester, Vermont, in 1788. Olin was a member of the Vermont State house of representatives 1799-1804 from 1806 to 1815 from 1817 to 1819, and 1822-1824; delegate to the State constitutional conventions in 1814, 1822, and 1828; associate judge and afterwards chief judge of the Addison County Court 1801-1824; member of the executive council in 1820 and 1821; elected to the Eighteenth Congress to fill the vacancy caused by the death of Charles Rich and served from December 13, 1824, to March 3, 1825; Democratic-Republican Lieutenant Governor of Vermont 1827-1830; died in Salisbury, Vermont, August 16, 1837; interment in Brookside Cemetery, Leicester, Vermont.