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
- Issai Schur (1875–1941), Lithuanian-German-Israeli mathematician
- Max Schur (1897–1969), Austrian physician
- Michael Schur (born 1975), American television producer and writer
- Philipp Johann Ferdinand Schur, German-Austrian botanist, 1799-1878
- Täve Schur (born 1939), German cyclist