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The damage critical curved surface is derived considering the related effect of isotropic damage and degradation of cohesion and internal friction angle of Mohr-Coulomb strength law.The characteristics of axial stress-displacement curve, axial-lateral displacement curve, networks of shear bands and the change with degree of damage, confining pressure, poissons ratio are investigated numerically by monitoring the stress-displacement values in the process of deformation of samples under plane strain and different initial conditions.The rule of the dependence of elastic-plastic response of localization and non-uniqueness of the solution of equation is discussed.The orientation angle of shear band is derived considering the related effect of isotropic damage and degradation of cohesion and internal friction angle of Mohr-Coulomb strength law, is contrasted to the measured value of the orientation angle of localization.It is shown that Peak strength residual strength, and its axial displacement depends on confining pressure.The networks of shear bands begin to Ⅱ phase of elasticity, develop in soften phase, and shaped in the phase of residual strength.As the degree of damage increases, the axial displacement at the points of bifurcation and shaped shear band decreases.The two value of the orientation angle increases with the increase of the damage degree.There are not much difference of value of theory and measured value under the same damage degree.That is to say, the Mohr-Coulomb theory considering the related effect of isotropic damage and degradation of cohesion and internal friction angle may predict the localized instability of sample.