This study shows the free vibration response of functionally graded metal-ceramic sandwich plates for the validation of the frequency parameter according to classical plate theory (CPT) using ANSYS software by considering the finite element solution approach. The faces of the functionally graded sandwich plate have layers, which are considered to be isotropic. Volume fraction, modulus of elasticity, density, and Poisson’s ratio of the different faces of the functionally graded material (FGM) plate are presumed to differ with power law distribution. For this study, the Functionally graded plate is symmetric from the middle plane. The core layer or the middle layer is ceramic and has an isotropic and homogenous nature. The model chosen for the analysis is 1:1:1 having same thickness ratio for top, core, and bottom, and frequency variation with different volume index is obtained for the clamped boundary condition considering classical plate theory. Impacts of change in aspect ratio, volume fraction index over frequency have been studied. Variation of frequency for different mode shapes is studied. Also, the impact of nodes and elements on frequency is investigated.