An apparatus for press-forming a molten gob made of meltable material, especially of glass or glass ceramics, into a body of specific shape with compression moulds which form with each other a form cavity for receiving the gob. The compression moulds consist at least in the zone of the forming surfaces of an open-pore material and the compression moulds are connected to a pressure gas source in order to produce a gas stream which emerges from the forming surfaces. The open-pore material of the forming surfaces the pores close to the forming surfaces are smaller than the pores remote from the forming surfaces.