Abstract: Planar shock wave experiments for OFHC copper were carried out, and the yield stresses of OFHC copper were obtained from the longitudinal and transverse stresses recorded by the manganin gauges. Numerical simulations of the planar shock tests for OFHC copper were performed by using the constructed seven constitutive models and compared with the experimental results. Constitutive models at high pressures and high strain rates were discussed. Results indicate that the Johnson-Cook or Zerilli-Armstrong constitutive models determined by the SHPB tests can not be applied to planar shock experiments.