Coplestone is a given name and a surname. Notable people with the name include:
Edward Coplestone (1776–1849), English churchman and academic John Coplestone, D.D. (1623–1689), English priest and academic Thomas Coplestone (1688–1748), British landowner, Whig politician and MP Michael William Coplestone Dillon Onslow (1938–2011), British Conservative politician Coplestone Bampfylde (disambiguation), several people
See also Copleston (disambiguation) Copplestone