In order to improve the limitation and lacuna of the traditional damage constitutive models for concrete,by using Hsieh-Ting-Chen four-parameter yield function,which could reflect the different strength characteristics of concrete in tension and compression,a new elasto-plasticity damage constitutive models for concrete was proposed based on the energy dissipation principle.Moreover,numerical test for concrete stress-strain relation under uniaxial tension and compression was given.Compared with other damage constitutive models, the proposed model contained only one unknown parameter and the other parameters could be found in Hsieh-Ting-Chen four-parameter yield function.And the same damage evolution law,which is used for tension and compression,was good for determining stress-strain curves and damage characteristic in complex stress state.