Babington is a surname. Notable people with the surname include:
Anthony Babington (1561–1586), English nobleman responsible for the Babington Plot against Elizabeth I
Anthony Babington (politician) (1877–1972), Northern Ireland politician, barrister and judge
Benjamin Guy Babington (1794–1866), English physician and epidemiologist
Cardale Babington (1808–1895), English botanist and archaeologist
Carlos Babington (born 1949), Argentine footballer, manager and club president
Charlie Babington (1895–1957), American baseball player
Churchill Babington (1821–1889), English classical scholar and archaeologist
Ellen Babington (1877–1956), British Olympic archer in 1908
Francis Babington (died 1569), English divine and academic administrator
Gervase Babington (1550–1610), Bishop of Exeter and Worcester
Sir James Melville Babington (1854–1936), Boer War commander
John Tremayne Babington (1891–1979), British Air Marshal
Thomas Babington (1758–1837), English philanthropist and politician
William Babington (disambiguation)