Schur is a German or Jewish surname. Notable people with the surname include:
Alexander Schur (born 1971), German footballer
Dina Feitelson-Schur (1926–1992), Israeli educator
Friedrich Schur (1856-1932), German mathematician
Fritz Schur (born 1951), Danish businessman
Gustav-Adolf Schur (born 1939), German cyclist
Issai Schur (1875–1941), Lithuanian-German-Israeli mathematician
Michael Schur (born 1975), American television producer and writer
Philipp Johann Ferdinand Schur, German-Austrian botanist, 1799-1878