Copeman is a surname. Notable people with the surname include:
Constance Copeman (1864–1953), English painter Fred Copeman (1907–1983), English volunteer during the Spanish Civil War Lloyd Groff Copeman (1881–1956), American inventor Peter Copeman FRCS (1932–2018), English dermatologist Russell Copeman (born 1960), Canadian politician Sydney Copeman (1862–1947), British doctor Thomas H. Copeman III, United States Navy officer William Copeman (1900–1970), rheumatologist