In this study, the effect of FG porous on the free vibration behavior of sandwich plate with piezoelectric face sheets and FG core is studied. A new hyperbolic shear deformation function is presented in this paper. The properties of the FG core varied along the thickness according to power law. The properties of the FG material change with the power distribution as a function of the changes in properties along the thickness. The structure of porous materials has cavities and pores. Therefore, in this research, a linear porous model and two types of nonlinear porous models are considered for the property change function. The governing differential equations are derived using the Hamilton principle. The obtained equations were solved using the Navier method for simple boundary conditions. The effects of important geometric and mechanical parameters including thickness to length ratio, length to width ratio, ratio of FG core thickness to piezoelectric face sheets and the effect of electrical potential on the natural frequency response of porous FG sandwich and piezoelectric face sheets have been investigated. To verification, the analytical results obtained in this study are compared with the results presented in the literature, and in this comparison, a good agreement was obtained, which shows the correctness theory, deriving and solving equations.