Henry Bedinger III (* February 3, 1812 in Shepherdstown, Jefferson County, Virginia; † November 26, 1858 ) was an American politician. Between 1845 and 1849 he represented the state of Virginia in the U.S. House of Representatives.
Born in what is now West Virginia Henry Bedinger was a nephew of Congressman George M. Bedinger (1756-1843) from Kentucky. He attended the common schools. After a subsequent law degree in 1832 and its recent approval as a lawyer, he started in Shepherdstown to work in this profession. Later he transferred his residence and his law firm to Charlestown. Politically, he joined the Democratic Party.
In the congressional elections of 1844 Bedinger in the tenth constituency of Virginia was in the U.S. House of Representatives in Washington DC chosen, where he became the successor of William Lucas on March 4, 1845. After a re-election he was able to complete in Congress until March 3, 1849 two legislative sessions. These were shaped by the events of the Mexican-American War. In 1848 he was not re-elected.
After the end of his time in the U.S. House of Representatives Henry Bedinger first practiced as a lawyer again. From 1853 to 1858 he was the successor of Miller Grieve American ambassador to Denmark. From this post he resigned on 10 August 1858. He died a few months later on November 26, 1858 in his hometown of Shepherdstown.