Abstract: In the press-molding method for producing molded glass bodies, the molding plug remains in contact with the molded glass body in the mold after the molding process until the regions close to the surface have cooled to a temperature at which the molded body at least temporarily possesses sufficient inherent stability to be removed from the mold. To prevent re-heating of the regions near the surface from causing undesirable deformation of the molded glass body, the body is transferred to a cooling station after being removed from the press mold. With this method, the waiting period during which the molded glass body is in the mold is minimized, so this mold is available for another molding process after a very short time. The capability of a glass-molding apparatus operated according to the method of the invention is thus increased.