Alexander Stanhope (1638 – 20 September 1707) was an English envoy in Madrid between 1690 and 1699.
He was the youngest son of Philip Stanhope, 1st Earl of Chesterfield by his second wife Anne, daughter of John 'Lusty' Pakington. He was educated at Exeter College, Oxford, graduating in 1654.
He married Catherine Burghill, daughter of Arnold Burghill of Thingehill Parva. They had several children, including:
His son James Stanhope, a famous General, is sometimes considered the first Prime Minister of Great Britain between 1717 and 1721.
He was a Gentleman Usher to the Queen. He was an Envoy extraordinary to Spain (1689–1706) and Envoy to the States-General.
He was elected a Fellow of the Royal Society in May 1663