Sir Henry James Burford-Hancock, CMG (died 23 October 1895) was a British lawyer and colonial judge.

He was educated at Eton College and was an officer in the 45th Regiment of Foot and captain in the Kent Militia Artillery.

He was called to the car at the Inner Temple in Hilary 1866 and practiced for several years on the Home Circuit and at the Sussex and Brighton Sessions.

[citation needed] He was a judge of the District Court of Jamaica from 1876 to 1878, when he was appointed Attorney-General of the Leeward Islands and Chancellor of the Diocese of Antigua.

[citation needed] His daughter, Rachel, married General Sir Richard Haking.