This work is a development of constitutive model for concrete by the theory of plasticity. In this model, non-uniform work hardening plasticity model adopts the most sophisticated failure model of Hsieh-Chen as a bounding surface by assuming an initial yield surface with a shape that is different from the failure surface; proposing a non-uniform hardening rule for the subsequent loading surfaces with a hydro static pressure and lode-angle dependent and utilizing a non-associated flow rule for a general formulation.