Experimental data of shear modulus and yield strength of shocked aluminum, copper and tungsten were analyzed systematically. Comparison between these data and t he results calculated by using SCG(Steinberg-Cochran-Guinan) constitutive model (J.Appl.Phys.51(3):1498) shows that shear modulus and yield strength have simila r dependence on pressure and temperature under conditions for aluminum below 50 GPa, copper below 100 GPa and tungsten below 200 GPa shock pressures. So the as sumptions in the SCG model,Y′pY0=G′pG0,Y′TY0=G′TG0, are approximately correct in these pressure ranges, and the SCG model can be used to describe the shear modulus and yield strength of these metals at high shock pr essure and high temperature.