Slope engineering stability is affected by lots of reasons and the load possesses uncertainties

which can be expressed by the upper and lower boundaries of an interval variable. The interval finite element method

which is combined by interval mathematics and FEM

is proposed to solve the deformation of slope. Taking Gushubao landslide as an engineering case

the practicability of interval finite element method is investigated. The numerical results gained by interval finite element method are compared with that by conventional finite element method

of which the case results show that the method applied to the engineering of the loading uncertainties and mechanical parameters uncertainties is feasible. Compared with conventional finite element method

the interval finite element method is more convenient and simple but the computable results are more suitable to calculate the loading combinations of slope.