Strain localization is a very important subject in rock and soil mechanics; the influence of strain localization on slope stability must be considered. Considering the combination of two kinds of regularization mechanisms

this paper applied the nonlocal model method to elasto-viscoplastic constitutive model

and carried out slope stability analysis based on finite element slip surface-stress method. The results of limit equilibrium method and slip surface-stress method based on linear elastic model were compared with the results from this paper’s method. The results show that the numerical result of this paper is rational and is instructive for engineering application.