Assmann or Assman is a German surname. Notable people with the surname include:
Aleida Assmann (born 1947), professor of Egyptology, literary and cultural studies
Arno Assmann (1908–1979), German actor and film director
Charles Assmann (born 1972), Canadian football player
Dick Assman (born c. 1934), Canadian petrol station owner
Fabián Assmann (born 1986), Argentine football goalkeeper
Hans Assmann (1923–1998), alleged KGB intelligence officer
Hans Erasmus Aßmann (1646–1699), German poet, statesman and translator
Jan Assmann (born 1938), German Egyptologist
Peter Assmann (born 1963), Austrian writer and visual artist
Richard Assmann (1845–1918), meteorologist
William F. Assmann (1862–1920), balloonist
Sarah M. Assmann, American biologist