PROBLEM TO BE SOLVED: To provide a series of methods and a series of devices for effectively pressing and ventilating an air supported greenhouse or other structures requiring pressing and ventilation. SOLUTION: One method for effectively pressing and ventilating the air supported structure contains a process directing optional external wind current and external wind pressure in a mechanical flow means operated in the direction of a suction such as one fan or a plurality of the fans connected in parallel while directing the external wind current and the external wind pressure in the internal space of the air supported structure and directing them from the internal space to the outside with an exhaust means adjusting an internal pressure. Consequently, the internal space of the structure is ventilated and pressed through a help of the optional external wind and the reliability of the mechanical flow means (the fan). COPYRIGHT: (C)2010,JPO&INPIT