The present invention forms bead apex rubber with good precision on the outer circumferential surface of the bead core. A molding process, in which unvulcanized rubber is made to flow into a bead apex-molding chamber that is surrounded by surfaces that include the outer circumferential surface of a circular bead core and the bead apex rubber is formed directly on the outer circumferential surface of the bead core that is rotating around the core shaft center, is provided. The molding process comprises: a leading end-forming step that forms the leading end of the bead apex rubber; a middle section-forming step that sequentially forms the bead apex rubber to be continuous with the leading end; and a joining step that joins the back end and the leading end of the bead apex rubber by the inflow of unvulcanized rubber therebetween.