Abstract: This invention relates to inflatable structures, that is to say, to an assembly of parts of which some at least are inflatable and joined one to another in such a fashion that the assembly assumes a specific rigid form after the inflation of the inflatable parts. In accordance with the invention, the inflatable structure comprises a plurality of inflatable enclosures joined together with pressure contact and these inflatable enclosures are located between two layers of flexible material to which they are fixed, placing the said layers under tension. Various shapes are described for the inflatable enclosures and the points of attachment of these enclosures to the upper and lower flexible layers may be the same where it is required to make a flat structure, or different where it is desired to make a curvilinear structure.