The invention relates to a method for producing a torsional vibration damper housing, especially the housing for a viscosity torsional vibration damper, whereby the damper housing is manufactured from an existing plate circular blank and the shaping of the damper housing occurs in an impact extrusion machine during a non-cutting impact extrusion shaping method. In successive impact extrusion shaping steps, all parts of the damper housing protruding from the plane of the plate circular blank, which forms the housing rear wall, are impact extruded while reducing the wall thickness of said parts to form a one-piece damper housing. Said damper housing is structured such that the area of the fastening flange has the largest thickness.