Palgrave is a surname. Notable people with the surname include:
Sir Francis Palgrave (born Cohen) (1768–1861), UK historian, and his sons:
Francis Turner Palgrave (1824–1897), British critic and poet
William Gifford Palgrave (1826–1888), scholar of Arabic
Sir Robert Harry Inglis Palgrave (1827–1919), banker, editor of The Economist and writer
Sir Reginald Francis Douce Palgrave (1829–1904), Clerk of the British House of Commons