A press device for the energy-efficient curing of a sandwich component for an aircraft, includes an open and mechanically adequately loadable core structure with cover layers applied to one side or to both sides. The sandwich component is restrained between a pressure piston, an abutment and sidewalls of the press device, thus forming an essentially closed interior space. At least one of at least one cover layer and the core structure includes a curable duroplastic plastic material. A conveying device feeds heated air through the core structure of the sandwich component in a closed heated-air circuit or preferably in an open heated-air circuit in order to ensure energy-efficient curing of the sandwich component from the inside out. The heated air is temperature-controlled by a heater. In the case of an open heated-air circuit, heat recovery by a heat exchanger is provided.