A process for forming a large-surface metal plate into a shaped part includes using a molding tool. The tool includes a reservoir filled with incompressible fluid work medium, clamping jaws and a shaping die movable towards the reservoir. Profiling elements, corresponding to each other, are configured in the interior of the reservoir and on the outer edge of the shaping die. The external high pressure punching by means of the shaping die moved forward against the high pressure of the fluid work medium is ended, when the shaping die has reached the profiling elements in the reservoir, by the pressure of the fluid work medium in the reservoir being reduced. The boundary sections of the metal plate are then formed between the profiling elements, pressed against each other, of the shaping die and the reservoir, at low pressure of the fluid work medium or at zero pressure.