Fuzzy character widely exists in elastic media slope. A fuzzy finite element method is proposed to describe the variation of the displacement and stress of slope due to the fuzzy feature of the mechanical parameters. Based on the construction of basic equations for elastic media

fuzzy operations and fuzzy integral and fuzzy differential are employed to deduce fuzzy expression form of geometrical equations and physical equations and equilibrium equations. Governing equations of fuzzy finite element method in which the parameters are considered as fuzzy number are constructed by using minimal fuzzy power principle. Case study illustrates that the numerical results obtained from fuzzy finite element method could objectively describe the effect of fuzzy character of mechanical parameters on calculated stress and displacement.