For accurately describe the thermodynamic relationship of detonation products under high temperature and pressure， so as to achieve reliable prediction of the detonation performance of CHNO elemental/mixed explosives and energetic metal salts. In this work， a new equation of state （EOS）： Virial-Peng-Long （VPL） for gaseous detonation products， was established based on the theoretical calculation of the 2-5th order virial coefficients of Exp-6 potential within a wide dimensionless temperature range. At the same time， a new EOS for condensed metal products： Wu-Chen-Peng （WCP） EOS， was established by introducing a more accurate“cold pressing” term， and a “lattice vibration” term which considered the changes in the thermal motion of metals under high pressure. Then， the VPL EOS was applied to calculate the detonation parameters of some typical CHNO elemental/mixed explosives， and the detonation CJ parameters and driving capacity of some typical energetic metal salts were evaluated using VPL and WCP. By comparing with experimental values， it is shown that the prediction deviation of detonation velocity of pentaerythritol tetranitrate （PETN） is within ±2.1%， with a maximum of about 2.5%； The absolute prediction error of the stable speed of copper cylinder driven by RHT-901 is less than 1%. VPL EOS and WCP EOS in this work can accurately evaluate the detonation performance of energetic metal salts. The relative error of detonation CJ parameters calculation for lead azide is within ±4%， and the absolute value of relative error in predicting the speed of copper azide driven flyer is within 1%.