The purpose of the present invention is to provide a method whereby deposits which have occurred on the surfaces of a fiber bundle during flameproofing treatment of a carbon fiber-precursor acrylic fiber bundle can be efficiently removed prior to carbonization treatment at high temperature. The method for production of carbon fiber bundle includes a step in which, after a carbon fiber-precursor acrylic fiber bundle has been heated and undergone flameproofing treatment, the fiber bundle is subjected to a plasma treatment involving contact with a plasma gas in gas phase, or to an ultraviolet treatment involving irradiation with ultraviolet in gas phase; and a step in which the fiber bundle having undergone the plasma treatment or the ultraviolet treatment is subjected to a carbonization treatment.