Objective To study the residual stresses of ceramic-metal bond at viscoelastic and elastic phases during cooling of porcelain-fused-to-metal in order to precisely calculate the ceramic-metal bond strength and improve the restorations.Methods The finite element model was set up according the crack initiation test (three-point flexure bond test) based on ISO Standard, ele- ments of viscoelastic and thermal-displacementwere used to part the model. The result at viscoelastic phaseswas used as initiation condition of elastic phases to add up.Results The compressive stresswas caused bymetal during cooling occurred in the ceram- ic. The shear stress induced by loading was offset by thermal shear stress. Load tensile stress and the thermal compressive stress vertical of interface concentrated at the end of the bond interface, but the tensile was greatly higher.Conclusion The residual stress is very important to metal-ceramic restorations, and the viscoelastic behavior of porcelain greatly influences it. If the metal and ceramic are compatible,the components stresses of the residual stresses may benefit to ceramic-metal bond, and can be taken as a part of bond stresses.