Capt. Henry Bayard Rich (14 June 1849 – 17 November 1884) was a British soldier, who played for the Royal Engineers in the 1872 FA Cup Final. As a soldier, he saw active service in three campaigns: the Perak Expedition of 1875–76, the Zulu War of 1879 and the Egyptian Expedition of 1882. He was killed in an accident while playing polo.