Schur is a German or Jewish surname. Notable people with the surname include:
Alexander Schur (born 1971), German footballerDina Feitelson-Schur (1926–1992), Israeli educatorFriedrich Schur (1856-1932), German mathematicianFritz Schur (born 1951), Danish businessmanGustav-Adolf Schur (born 1939), German cyclistIssai Schur (1875–1941), Lithuanian-German-Israeli mathematicianMichael Schur (born 1975), American television producer and writerPhilipp Johann Ferdinand Schur, German-Austrian botanist, 1799-1878