Henry Bingham Baring (4 March 1804 – 25 April 1869) was a British Conservative Party politician. He was the son of Henry Baring and Maria Matilda Bingham, daughter of American-born statesman William Bingham. Bingham was a half-brother of Evelyn Baring, 1st Earl of Cromer and a member of the distinguished Baring family.
He entered the House of Commons in 1831 as Member of Parliament for the rotten borough of Callington in Cornwall. When Callington was disenfranchised the following year, he was returned for the Marlborough constituency in Wiltshire, and held his seat until 1868.