Mure is a surname. Notable people with the surname include:

Benoît Jules Mure (1809—1858), French homeopath, naturalist, and anarcho-communist David Mure, Lord Mure (1810–1891), Scottish lawyer and politician Elizabeth Mure ( 1320– 1355), first wife of Scottish King Robert II John Mure ( 1776–1823), Canadian businessman and politician G. R. G. Mure (1893–1979), British philosopher and academic Pierre La Mure (1909–1976), French author Robert Mure of Caldwell (died 1620), Scottish landowner William Mure (disambiguation), multiple people

See also Reginald de Mure (died 1340), Scottish noble, twice Lord Chamberlain of Scotland Pierre La Mure (1909–1976), French author