Abstract: Based on the hypotheses of energy equivalence, a new damage model coupled with plasticity has been proposed to simulate the response of concrete material, and been integrated in ABAQUS using the User subroutine to define a material’s mechanical behavior (Umat). The simulation of material damage behavior would usually induce the divergent numerical result. To solve this problem, the consistent tangent stiffness of a proceeding model has been deduced to update the Jacobi matrix during the iteration. Meanwhile the Finite Element theory of the new model and its process have been introduced in this paper, the stability of numerical tests were also studied. The comparison between Umat and conventional damage method in ABAQUS has been employed in a uniaxial compression and tension numerical test. The results indicate that the Umat developed in this paper was more effective in simulating the plastic damage behavior of concrete material during the tension and compression behavior.