As there is a few area or topographic factors for landfill site, the slope angle becomes steeper because it makes much disposal capacity. Tensile force in the geotextile is caused by compaction work of disposed waste, and the tensile force is transferred into the liner system by friction, but the tensile force of liner system will change with a change of slope angle, so it is very important to determine the amount of tensile forces creating at the fixed ends of liner system for avoiding the tearing failure of liner system and designing the anchorage. In this paper, FEM analyses, in which the joint element was used to model the interface between the liner system, were conducted to estimate the tensile forces creating at the fixed ends of liner system with a change of slope angle from 1:2.5 to 1:0.2. The analysis results show that the tensile forces creating at the fixed end of liner decrease as the slope angle increases.