We consider a circular ring plate with inner edge fixed and outer edge fixed and supported under the action of uniformly distributed load over entire actual surface. We write down the boundary conditions and the von Karman equations for the large deflection of such a plate in a dimensionless form and then solve them by the perturbation method based upon the smallness of the maximum deflection at the inner edge. Design formulae for stress and maximum deflection, which are of practical importance, are given at the end of the paper.