Fanshawe is a surname. Notable people with the surname include:
Andy Fanshawe (1963–1992), British mountaineer
Ann Fanshawe (1625–1680), English memoirist
Admiral Sir Arthur Fanshawe (1794-1864), British Royal Navy officer, Commander-in-Chief, Portsmouth
Admiral of the Fleet Sir Arthur Dalrymple Fanshawe (1847-1936), British Royal Navy officer, Commander-in-Chief, Portsmouth (son of Admiral Sir Edward Fanshawe, below)
Catherine Maria Fanshawe (1765–1834), English poet
General Charles Fanshawe (ca. 1817-1901), British officer, Colonel-Commandant of the Royal Engineers (brother of Admiral Sir Edward Fanshawe, below)
David Fanshawe (1942–2010), English composer
Admiral Sir Edward Gennis Fanshawe (1814-1906), British Royal Navy officer, Commander-in-Chief, Portsmouth (nephew and heir of Sir Arthur Fanshawe, above)
Evelyn Fanshawe, in charge of the U.N. relief operation in the British Zone of Germany
Henry Fanshawe (1634–1685) MP for Penryn
James Fanshawe, racehorse trainer
Sir Richard Fanshawe, 1st Baronet (1608–1666), English diplomat to Portugal and Spain
Richard Fanshawe (equestrian) (1906–1988), British Olympian
Captain Robert Fanshawe (1740-1823) Royal Navy Officer and MP for Plymouth
Robert Fanshawe (1863–1946), British General
Simon Fanshawe (born 1956), English comedian, writer and broadcaster
Edward Fanshawe (British Army officer) (1859-1952) British general
Hew Dalrymple Fanshawe (British Army officer) British general
William Fanshawe (1583 – 4 March 1634) MP for Lancaster and Clitheroe
Sir Thomas Fanshawe KB (1580 – 17 December 1631) MP for Bedford and Lancaster
Thomas Fanshawe (1607 – 1651) MP for Preston and Lancaster
Sir Henry Fanshawe (1569–1616) Remembrancer of the Exchequer
Thomas Fanshawe (1533–1601) Remembrancer of the Exchequer
Thomas Fanshawe, 1st Viscount Fanshawe KB (1596 – 30 March 1665) Remembrancer of the Exchequer
Thomas Fanshawe, 2nd Viscount Fanshawe KB (1632-1674) Remembrancer of the Exchequer
Charles Fanshawe, 4th Viscount Fanshawe (1643-1710) MP for Mitchell
