As viscoe-elasticity-plasticity material constitutive relationship was analyzed, a hypothesis yield face which was not effected by temperature was popularly used to suppose viscoe-elasticity-plasticity material deformation trend, and the inherent law of metal material in heat deformation was difficultly opened out by this method. Thus, the viscoe-elasticity-plasticity material constitutive relationship needed to be built by the continuum mechanics theory and thermodynamics under the conditions of temperature field effect consideration and the hypothesis yield face overcame. After motion hardening variable and the identification hardening variable introduced, the inner variables and stress evolvement course were analyzed in heat steady state creep forming, the viscoe-elasticity-plasticity material constitutive equations were established. And by means of Oula difference method, the unified constitutive equations numerical solutions were also obtained. According to a cycle of strain ratio loading and by MATLAB computer simulation, the varied law of inner variables, stress and strain were found, and the validity of the viscoe-elasticity-plasticity unified constitutive models were validated.