| Honorific-Prefix: | The Right Honourable |
| The Lord Brougham and Vaux | |
| Office9: | Member of the House of Lords Lord Temporal |
| Term Start9: | 3 January 1886 |
| Term End9: | 24 May 1927 Hereditary peerage |
| Predecessor9: | The 2nd Baron Brougham and Vaux |
| Successor9: | The 4th Baron Brougham and Vaux |
| Birth Date: | 2 September 1836 |
| Alma Mater: | Eton College Trinity College, Cambridge |
| Children: | 2 |
| Parents: | William Brougham, 2nd Baron Brougham and Vaux Emily Frances Taylor |
Henry Charles Brougham, 3rd Baron Brougham and Vaux (2 September 1836 – 24 May 1927), was a British aristocrat and civil servant.
Brougham was the son of William Brougham, 2nd Baron Brougham and Vaux, and Emily Frances Taylor, 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.