Henry Charles Brougham, 3rd Baron Brougham and Vaux KCVO JP DL (2 September 1836 - 24 May 1927) was a British and civil servant.
Brougham was the son of William Brougham, 2nd Baron Brougham and Vaux, and Emily Frances, daughter of Sir Charles Taylor, 1st Baronet. Lord Chancellor Henry Brougham, 1st Baron Brougham and Vaux, was his uncle. He was educated at Eton and Trinity College, Cambridge.
In 1857 Brougham was appointed a Clerk to the House of Lords, a position he held until 1886, when he succeeded his father in the barony and was himself able to take a seat in the upper chamber of parliament. However, he never spoke in the House of Lords. In 1905 he was made a KCVO.
Lord Brougham and Vaux married Adora Frances Olga, daughter of Peter Wells and widow of Sir Richard Musgrave, 11th Baronet, in 1882. They had one son and one daughter. She died in December 1925. Lord Brougham and Vaux survived her by less than two years and died in May 1927, aged 90, only 20 days after the death of his only son, the Hon. Henry. He was succeeded in the barony by his grandson, Victor.