The present invention relates to an inflatable hall or bag comprising a cover that is anchored in the ground and is under superpressure on the inside. This inflatable hall is provided with a covering made up of two superposed foils, with an air cushion disposed therebetween, which is in communication with the air-filled hall space through the inner foil. The amount of spacing between the two foils can be adjusted by blower means and by changing the permeability of the foil material to air. The temperature of the air inside the hall and inside the space between the two foils can be controlled by heating means and cooling means being connected to the blower means.
