This article put forward a method to calculate the temperature coefficient for shear modulus(G′T) by means of theoreticial calculation and dynamic experiments. Firstly,introduce a calculation data G(PS), then combine with dynamic experimental data G(PH) to obtain G′T. Taking tungsten alloy as an example, the results show that G′T varies with pressure and temperature at the beginning, but at high pressure and high temperature, it is almost a constant of -004Gpa/℃ for tungsten alloy. This also verifies the assumption in Steinberg constitutive model that G′ T should be a constant. When we applied this constant to calculate the corrected shear modulus under shock compression, the calculated results are in accordance with the experimental data.