Riemann is a German surname. Notable people with this surname include the following:

• Bernhard Riemann (1826–1866), German mathematician, originator of Riemannian geometry
• Fritz Riemann (1859–1932), German chess master
• Fritz Riemann (psychologist) (1902–1979), German psychoanalyst
• Hugo Riemann (1849–1919), German musicologist
• Johannes Riemann (1888–1959), German actor
• Katja Riemann (born 1963), German actress
• Leopold Reimann (1892-1917), German flying ace
• Manuel Riemann (born 1988), German football (soccer) player
• Paula Riemann (born 1993), German actress
• Solomon Riemann (died c. 1873), Jewish traveller

• Reimann, a similar surname
• List of topics named after Bernhard Riemann
• Riemann (crater), a lunar crater