A NFE model is constructed to analyze the heating steady thermal stress in a ceramic/FGM/metal composite EFBF plate considered temperature dependency. From numerical calculation, when T0=Ta=300K and Tb=1 000K, the stress distributions in the plate were obtained. The results are as follows. With the increase of the FGM thickness, the stress distribution is more reasonable, and the largest tensile stress reduces by 45.64%. With the increase of M, the stress change increases obviously, and the compressive stress on the surface of ceramics reduces by 56.0%. Compared with A=0, the compressive stress of A=3.99 on the surface of metal increases by 94.2%, and the stress on the surface of ceramics changes from compressive stress to tensile stress. When T0=300K, Ta=700K, compared with Tb=1 050K, when Tb=1 800K, the compressive stress on the surface of metal increases 13.62 times, and the maximum compressive stress on the surface of ceramics increases 5.22 times. Compared with the two-layered ceramic/metal composite plate, the stress of ceramic/FGM/metal composite EFBF plate is very gentle, and the maximum tensile stress reduces by 44.2%. Compared with constant material properties, the maximum compressive stress on the surface of metal considered temperature dependency reduces by 59.1%. The results provide the foundations of theoretical calculation for the design and application of the composite plate.