With establishing the fundamental equation of prestressed circular membrane under Fpplvon Kármán membrane theory, Hencky transform is extended and the general solution of axisymmetrical deformation of prestressed circular membrane under uniformly distributed loads is obtained. The central deflection, the radial and circumferential stresses of the membrane are given in the form of power series. And it is found that the solution approaches to the results from Hencky theory when the prestressing is far less than the loads; and the solution approaches to the results based on linear theory when the prestressing is far greater than the loads.