Henry Brockman (21 June 1845 – 7 November 1916) was a Member of the Western Australian Legislative Council from 1884 to 1889.
Born on 21 June 1845 at Herne Hill, Western Australia, Henry Brockman was the son of William Locke Brockman and Ann Frances Elizabeth née Hamersley, a nephew of Edward Hamersley (Snr), and a cousin of Edward (Jnr) and Samuel Hamersley. He was educated in England, and in 1864 took up land as a farmer and pastoralist at Cheriton near Gingin. On 19 March 1874 he married Anna Louisa de Burgh in a ceremony at Guildford; he would later become brother-in-law to Charles Harper and James Morrison. From 1870 he was involved in exporting horses to India.
On 24 October 1884, Brockman was elected to the Western Australian Legislative Council seat of Swan. He held the seat until the election of 30 January 1889, which he did not contest. From 1886 he had invested heavily in the Midland Railway, ultimately suffering heavy losses. In 1893 he was elected Mayor of Gingin, which position he held until 1903, when he sold his land and retired to Perth. He died in South Perth on 7 November 1916, and was buried in Karrakatta Cemetery.