Fanshawe is a surname. Notable people with the surname include:
Andy Fanshawe (1963–1992), British mountaineer
Ann Fanshawe (1625–1680), English memoirist
Sir Arthur Fanshawe (1794–1864), British naval officer
Sir Arthur Dalrymple Fanshawe (1847–1936), British naval officer
Catherine Maria Fanshawe (1765–1834), English poet
Charles Fanshawe (c. 1817 – 1901), British military officer, List of British generals and brigadiers David Fanshawe (1942–2010), English composer Sir Edward Fanshawe (1814–1906), British naval officer Sir Edward Fanshawe (British Army officer) (1859–1952) Evelyn Fanshawe (1895–1979), 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 Robert Fanshawe (Royal Navy officer) (1740–1823), British naval officer and MP for Plymouth Robert Fanshawe (British Army officer) (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 (1860–1957), British general William Fanshawe, (1583–1634), MP for Lancaster and Clitheroe Sir Thomas Fanshawe (1580–1631), MP for Bedford and Lancaster Thomas Fanshawe (of Jenkins) (1607–1651), MP for Preston and Lancaster Henry Fanshawe (1569–1616), Remembrancer of the Exchequer Thomas Fanshawe (remembrancer of the exchequer), (1533–1601), Remembrancer of the Exchequer Thomas Fanshawe, 1st Viscount Fanshawe (1596–1665), Remembrancer of the Exchequer Thomas Fanshawe, 2nd Viscount Fanshawe (1632–1674), Remembrancer of the Exchequer Charles Fanshawe, 4th Viscount Fanshawe (1643–1710), MP for Mitchell