Oliver Hampton Smith (October 23, 1794 – March 19, 1859) was a United States representative and Senator from Indiana.

Born on Smith's Island, near Trenton, New Jersey, (is also believed to have been born at the Smith Family Farmstead in Upper Makefield Township, Pennsylvania[1]) he attended the common schools and moved west, eventually settling in Lawrenceburg, Indiana in 1818.

From 1822 to 1824 he was a member of the Indiana House of Representatives and was prosecuting attorney for the third judicial district, 1824–1825.

He was an unsuccessful candidate for reelection and moved to Indianapolis where he resumed the practice of law.

He declined to be a candidate for Governor of Indiana in 1845 and engaged in the railroad business in Indianapolis.