nonlinear vibration of simply supported FGM rectangular plates subjected to uniformly distributed tangential follower forces is presented in this paper. The material properties of a FGM plate were graded continuously in the direction of thickness, according to a simply power-low distribution of the volume fraction of the constituents. The governing nonlinear partial differential equations which expressed by stress function and deflection function are obtained using the von Karman theory. Then the nonlinear partial differential equations are transformed into ordinary nonlinear differential equation using Galerkin method. For simply supported ceramic/metal FGM plates under the action of uniformly distributed tangential follower forces, the effect of follower force, gradient index and aspect ratio on the dynamic behavior of the plates is discussed. The relation between central amplitude and nonlinear fundamental frequency for different parameter are derived.