In this paper, the discrete element method was applied to evaluate the stability of composite cover and lining system of landfill. This method is capable of estimating the distribution of tensile force and shear stress mobilized in each liner component and its interfaces, based on a relationship of force and displacement. It was assumed that the cover soil and geomembrane were comprised of slices connected with elastoplastic Winkler springs and tensile spring respectively. Parametric study using this method was performed and compared with other techniques based on limit equilibrium method fur the example analysis.