Abstract: According to the characteristics of inflatable antenna, structures analysis model and force boundary condition model of the inflatable reflector are established based on membrane theory. General solution and particular solution for displacement and stress of the membrane reflector are deduced. A comparison between theoretical analysis and numerical analysis is carried out through an example. At last, the method to evaluate the precision of the solved surface for the inflatable reflector is proposed, when initial geometric configuration is the design shape of reflector structure. And the influences of design parameters and running conditions of inflatable structures on the precision of the solved surface are investigated.