Abstract: The enclosed air in inflatable membrane structures is assumed as potential flow in this paper. The wave equation of enclosed air was derived, and the finite element dynamic equation was obtained by using Galerkin method. The relation between nodal potential of air elements and nodal displacement of membrane elements was established through the introduction of interface coupling conditions. Then the interaction model of the inflatable membrane structure system was obtained by combining the dynamic equations of both the enclosed air and the membrane. On the basis of the interaction model, two typical inflatable structures were modeled and analyzed to verify the accuracy and rationality of the interaction model by comparing the numerical results with the experimental results.