The FGM is taken to be a ceramic -metal composite with its component changing with position in the FGM along with the thickness direction.The residual thermal mic rostresses analysis is important to determine the material system of FGM.Based on an elastic mechanics analysis according to a spherical sy mmetric model,the residual thermal microstresses are determined as a fu nction of the elastic properties of the ceramic and metal phases,and the location.The results show that the r esidual microstresses have a charac teristic of short -range dis-tribution.And the maximal stresses locate in the interface of ceramic an d metal phases at every graded layer.In the end,the residual thermal stresses of ceramic-metal interfac es in ZrO 2 /Ni FGM cooled to room temperature after sintering have been analyzed.The results show that many microcracks would likely develop in the matrix of FGM.