Abstract: The proposed method for shaping parts by hydraulic extrusion allows of deforming the blank by different pressures exerted upon different blank zones. This principle is embodied in a device which comprises a vessel housing a plurality of auxiliary vessels whereof the edges are pressed against the blank, defining closed cavities therewith. Liquid under pressure is supplied into each of these cavities.Thanks to such an arrangement, the parts manufactured have a negligible wall thickness error.The design of the proposed device permits manufacturing double-curvature parts.