Kossmann or Koßmann is a German surname. Notable people with the surname include:
Alfred Kossmann, (1922-1998), a Dutch poet and prose writer.Ernst Kossmann, (1922-2003), a Dutch historian and twin brother of AlfredKarl-Richard Koßmann, (1896-1947), a Generalmajor in the Wehrmacht during World War IIKurt Kossmann, (born 1971), an American professional race car driverYvette Kosmann, (born 1941), a French mathematician and professor