Henry Brouncker (c. 1550 – 3 June 1607),^[1] of Erlestoke, Wiltshire and West Ham, Essex, was an English politician whose later career was spent in Ireland.

He was born in Wiltshire, a younger son of Henry Brouncker of Melksham and Erlestoke and his second wife Ursula Yate.

He was a Member (MP) of the Parliament of England for Westbury in 1572, for Devizes in 1584, 1586 and 1589, and for Dorchester in 1601.^[2] He saw military service in Ireland, and went on a diplomatic mission to Scotland in 1601, where he was well received, being described as a man who was "true and wise". He was knighted in 1597. After the accession of King James I, he was in favour at Court, being listed as one of those who had the right of unrestricted access to the Privy Chamber. He became Lord President of Munster in 1603: he died in that office and was buried in St. Mary's Church, Cork.

By his wife Anne Parker, daughter of Henry Parker, 11th Baron Morley and Lady Elizabeth Stanley, he was the father of William, 1st Viscount Brouncker. Anne died in 1612.