In this paper, seven constitutive models for oxygenfree high conductivity copper at high pressure and high strain rate are constructed based on Y/G=constant and on G/B=constant, respectively （Y denoting the yield strength, G the shear modulus, B the bulk modulus）. The variations of longitudinal stress, transverse stress and yield strength of oxygenfree high conductivity copper with time under planar shock loading are obtained using the manganin stress gauge and compared with the predicted values by the constructed seven constitutive models. It is indicated that the pressure, density, temperature and plastic strain dependence of the yield strength for oxygenfree high conductivity copper under planar shock loading is essential to the constitutive description. It seems that the strength models of oxygenfree high conductivity copper obtained from SHPB tests and torsion tests are unavailing to the planar shock loading.