Henry Gough-Calthorpe, 1st Baron Calthorpe (1 January 1749 – 16 March 1798), known until 1796 as Sir Henry Gough, 2nd Baronet, was a British politician.
He was the son of Sir Henry Gough, 1st Baronet by his first wife Barbara Calthorpe, the only daughter of Reynolds Calthorpe of Hampshire. On 8 June 1774 he succeeded to his father's title and estates. Between 1774 and 1796 he served as the Member of Parliament for Bramber, a rotten borough controlled by his family. He took the additional surname of Calthorpe by Royal Licence in 1788 on succeeding to the estates of his maternal uncle, Sir Henry Calthorpe. On 16 January 1796 he was created Baron Calthorpe, of Calthorpe in the County of Norfolk in the Peerage of Great Britain.
On 1 May 1783 Gough-Calthorpe married Frances Carpenter, the second daughter and co-heiress of General Benjamin Carpenter. They had eight children: