Abstract: On the basis of the pressure Px at 0 K deduced by the present authors in the paper [1], using Debye solid model and considering the thermal pressure of electrons, we obtain the equation of state for metals at high temperature and pressure. Combining this equation with Hugoniot equation we can calculate the Hugoniot curves which can be compared with experimental data. The Hugoniot curves for five simple metals (Na, K, Mg, Al and Pb) are calculated. The comparison between theory and experiments shows that the theoretical calculations are all in fairly good agreement with the experiments when the pressure is below 500 kbar for Na and K, 1.7 Mbar for Mg, 4.9 Mbar for Al and 34 Mbar for Pb.