Rock slope failures usually occur along the structural discontinuities in rock masses, but for weathered and highly jointed rock masses, failure surfaces are often curved as in soil slopes. This paper is concerned with stability analysis of weathered and highly jointed rock slope using shear strength reduction technique by FLAC program, which uses finite difference method. This paper presents a stability analysis of a rock slope in Khneifees mines in Syrian desert, to verify that it is safe for workers and equipments to work beside it, and manipulates the result charts of FLAC analysis using finite difference method and shear strength reduction technique to assess the stability of the rock slope, determine the safety factor of the rock slope and expect failure mechanism.