Nangle is a surname. Notable people with the surname include:
David Nangle (born 1960), American politician John Francis Nangle (1922–2008), American jurist Richard Nangle (bishop), Irish bishop Romello Nangle (born 1995), English football player Thomas Nangle (1889–1972), Canadian cleric, Rhodesian politician Edward Nangle (1799–1883), Missionary to Achill