There has been a problem that wrinkles easily occur on a carbonaceous film produced by the use of a continuous production method and on a graphite film obtained by heat-treating the carbonaceous film. In the present invention, heating treatment is carried out on a polymeric film while applying pressure to the polymeric film in the film thickness direction with the use of a continuous carbonization apparatus. This makes it possible to obtain a carbonaceous film and a graphite film in which wrinkling is reduced.