Abstract: An ironing mangle has a generally cylindrical and tubular roller received within a generally cylindrical tube that surrounds it through more than 270.degree.. A plurality of cushions or bags is secured to the outer surface of the roller, the bags being angularly offset and angularly overlapping each other. These bags can be pneumatically pressurized to force items being ironed against the inner surface of the sleeve. A cover sheet extending circumferentially completely around the roller is secured to the roller at its leading edge underneath one of the bags and is gas-pervious. Similarly the bags are provided with tubular throughgoing fittings that allow gas passage through the bags without depressurization of them, while the surfaces of these bags are formed with a plurality of bumps and the roller has throughgoing holes that allow the interior of the roller to be depressurized to draw off steam generated during ironing.