Baermann, sometimes given as Bärmann or Barmann, is a surname and given name. Notable people with this surname include the following:
Baermann of Limburg (), German writer Carl Baermann (1810–1885), German clarinetist and composer Carl Baermann (pianist) (1839–1913), German-born American pianist and composer Gustav Karl Theodor Friedrich Baermann (1877–1950), German medical doctor and researcher Heinrich Baermann (1784–1847), German clarinetist