Teichmann or Teichman is a surname of German or Silesian origin ().
Notable people with the surname Teichmann include: Axel Teichmann (born 1979), German cross-country skier Ernst Teichmann (1869–1919), German theologian and zoologist Gary Teichmann (born 1967), South African rugby union player Jil Teichmann (born 1997), Spanish-born Swiss tennis player Josef Teichmann (born 1972), Austrian mathematician Karl Teichmann (1897–1927), First World War flying ace Ludwik Teichmann (1823–1895), Polish anatomist Max Teichmann (1924–2008), Australian academic and political commentator Richard Teichmann (1868–1925), German chess player Roland Teichmann, director of the Österreichisches Filminstitut
Notable people with the surname Teichman include: Arved von Teichman und Logischen (1829–1898), Royal Prussian lieutenant general Arthur Murray (born Moses Teichman, 1895–1991), dance instructor and businessman Eric Teichman (1884–1944), British politician Jenny Teichman (1930–2018), Australian/British philosopher, wife of Max Teichmann Sabina Teichman (1905–1983), American painter