Brigadier-General Henry Edmund Burleigh Leach CB CMG CVO (18 July 1870 – 16 August 1936) was a British Army officer.

The son of Major-General Sir Edmund Leach of Corston House, Pembrokeshire, he was educated at Uppingham School and the Royal Military College, Sandhurst, where he won the Sword of Honour.

[2] He was promoted to captain on 27 January 1900,[3] and served with distinction as a Special Service Officer for Mounted Infantry in the Second Boer War in South Africa.

Following the end of that war in June 1902, he left Cape Town on the SS Canada returning to Southampton in late July,[4] and was back in a regular commission with his regiment three months later.

In 1908 he transferred to the South Wales Borderers and in 1912 he took command of the 2nd Battalion, being promoted lieutenant-colonel the following year.