Derby is a surname. Notable people with the surname include:
Brown Derby (actor) (1914-2000), Scottish actor
Dean Derby (born 1935), American retired National Football League player
Ethel Roosevelt Derby (1891-1977), youngest daughter of President Theodore Roosevelt, instrumental in preserving his legacy
Elias Hasket Derby (1739-1799), American merchant
George Derby (1823-1861), American humorist
George Derby (baseball) (1857-1925), American Major League Baseball pitcher
James Cephas Derby (1818-1892), American book publisher
Orville Adalbert Derby (1851-1915), American geologist who worked in Brazil
Pat Derby (1942–2013), British-born American animal trainer
Sylvester Derby (1892–1974), American college football head coach