Although functionally gradient materials(FGM) has been developed so as to decrese the thermal stress induced by the high temperature difference between metal and ceramic, it is necessary to analyze the residual thermal stress for the fabrication of FGM. In order to reduce the residual thermal stress, compositional profile of SUS/PSZ(FGM) was suggested using finite element method(FEM). The stress analysis was made on the shape of cylinder with axial symmetry using two dimensional triangular element. For the case of various cylinder with different compositional gradient, calculated stress components were in reasonably good agreement with the expected ones. And the qualitative profile was suggested.