Element stress is derived from the stress equilibrium differential equations under the plane strain conditions. Viscoplasticity model is used between velocity and the viscoplastic strain of the slope soil. Then Cam-Clay model is used to derive the explicit expressions of the deformation rate with the depth of slope soil. The slope deformation is calculated. Simulation accuracy is improved by modifying the viscosity. Finally, a numerical example is given in comparison with the field measured data and the agreement is achieved.