Abstract: Taking into account the effect of temperature dependency of material properties,the transient temperature fields in the plate made of a functionally gradient material that consists of ZrO₂ and Ti-6Al-4V under convective heat transfer boundary are analyzed by the finite element method(FEM)and the finite difference method (FDM). At the same time,the accuracy of this method is examined.Finally, the transient temperature field distributions under the convective heat transfer boundary are obtained and compared with the results of temperature-independent properties. From the numerical results it can be seen that the temperature dependency of the material properties is one of the most important factors in the accurate evaluation of the temperature. In addition, the temperature distribu-tions are substantially changed with the change of the temperature of the surrounding and the parameter M and the convective heat transfer coefficients.The results of this paper provide the foundations of calculation for material design and further thermal stress analysis.