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In this article, nonlinear bending analysis of sandwich circular plates with functionally graded face sheets subjected to transverse mechanical load is presented. The formulations are based on first-order shear deformation plate theory (FSDPT) and large deflection von Karman equations and nonlinear equilibrium equations solved by the dynamic relaxation (DR) method combined with the finite difference discretization technique. In order to verify the current work some obtained results are compared with the solutions reported in the literature and Abaqus finite element method. Finally, The influences of material constant k, boundary conditions, core-to-face sheets thickness ratio on the results are studied in detail.