An object of this invention is to provide such a welded structure of and welding method for two metallic parts fitted together at a tubular section in a high-pressure fuel supply pump, that enables rapid joining of both metallic parts by staking (press-fitting included), screw fastening, and / or laser welding, offers high welding strength and sufficient fluid sealability, and keeps the metallic materials free from thermal changes in composition. While an electric current is supplied to any one of the welding connection surfaces formed between a pump housing and cylinder in a high-pressure fuel supply pump, between the pump housing and an installation flange, between the pump housing and an intake or discharge joint, between the pump housing and a pulsation-absorbing damper cover, between the pump housing and a relief valve mechanism, and between the pump housing and an electromagnetically driven intake valve mechanism, the particular two sections are pressed against each other to generate, along the connection surface, a plastic flow not causing melting or fusion due to heat, and form a diffusion-weld region at the connection surface by using the plastic flow and the application of the pressure.