An extrusion molding method of an extrusion press includes a first step of loading a billet, the outer surface of which is subjected to a barking treatment, into a container, and extruding the billet in such a manner as to leave a predetermined length, a second step of loading a next billet into the container, additionally extruding the preceding billet with the succeeding billet in such a manner as to leave a predetermined length of the succeeding billet; and a third step of loading a next billet into the container and additionally extruding the preceding billet with the succeeding billet in such a manner as to leave a predetermined discard length of the succeeding billet and stopping extrusion. By way of these steps, the container does not move while maintaining contact with a die, and the billet is continuously extruded by leftover and additional extrusion.