Abstract: Stress concentration area on the surface or inside the conductivity material will change its electromagnetic and heat transfer parameters accordingly, such as the electrical conductivity, thermal conductivity and so on. The electrical conductivity and thermal conductivity play important role in the process of induction heating and heat propagation process of eddy current thermography (ECT) testing. If the influence of electrical conductivity and thermal conductivity on the testing result of ECT is known, the stress state of conductor material can be measured with ECT by extracting features of the temperature distribution or temperature rise from the IR images or image sequence. In this paper, the effects of electrical conductivity, thermal conductivity and stress layer thickness on the surface temperature of the specimen were investigated by the means of numerical simulation with COMSOL MULTIPHYSICS. The relationship between stress value, stress layer thickness and temperature variation was presented. The results show that the relationship between the stress and its thickness of the specimen and its surface temperature is approximately linear in a certain range. The higher the tensile stress and the bigger its thickness are, the higher the stress layer temperature is, and the higher the compressive stress and the bigger its thickness are, the lower the stress layer temperature is. The simulation results presented in this paper could be a theoretical reference for the further study on stress measurement of conductivity material by using ECT.