Joseph A. Wright (April 17, 1810-May 11, 1867) was a Democratic governor of the U.S. state of Indiana from December 5, 1849 to January 12, 1857. He was born in Washington, Pennsylvania and moved to Bloomington, Indiana in 1820. He was the brother of former Iowa Senator George G. Wright.
Wright has also served as a member of the Indiana House of Representatives (1833-1838); a member of the Indiana State Senate (1838-1842); member of the United States House of Representatives (1843-1845); a member of the United States Senate (1862-1863) due to expulsion of Senator Jesse D. Bright; a United States Envoy and Minister to Prussia (1857-1861 and 1865-1867). He died in 1867 in Berlin, Germany and is buried in New York City.