Classical geotechnical engineering limit element analysis method is widely used, but it is not suitable for heterogeneous materials. In particular, the finite element method should be used to analyze the strength of the loess slope. With the development of computer technology, it is possible to utilize computer technology to finite element analysis on the strength of loess slope. This paper introduce the limit analysis finite element method basic principle, including the definition of safety factor, rock and soil as a whole lost stability judgment method, the experimental data show that the method possessed good effect to loess landslide prediction.