A method and device for shaping the visors of caps is disclosed. In the method, the visor is curved into a predetermined curvature prior to being heated by hot steam having a temperature of about 100.degree. C. for about 5-150 seconds. The heated visor is cooled by a cool air current having a temperature of about 5.degree.-25.degree. C. for about 10-150 seconds. The device has heating and cooling units respectively connected to hot steam and cool air sources. A plurality of molds, used for shaping the visors, are received in at least one of the two units. Each of the molds includes two perforated panels, which are curved into the curvature and are assembled into a single body, with a plurality of spacers being interposed between the two panels and spacing the two panels apart from each other while def ining a curved gap between the two panels for receiving the visor of a cap.