In a fastening method and fastening apparatus, workpieces are fastened using a fastener made of a thermoplastic polymer comprising carbon fibers. The method and apparatus involve induction heating of the carbon fibers to soften the thermoplastic polymer and then plastically deforming axial ends of the fastener using a die or dies to form first and second heads while a shaft body or a shaft part of the thermoplastic polymer comprising the carbon fibers is inserted through respective through holes formed in the workpieces.