The No.1 Tailing Dam in Chaihe，TieLing City，lies in Guanmen mountain ditch in Houshi community，Kaoshan town，Kaiyuan city，Liaoning province，which is composed of starter dam and embankment. On the basis of the onthespot investigation about the dam，in text the finite difference numerical model is builded through reasonably generalizing and extending the actual principal section of the dam. Then，Duncan—Chang model is used for disclosing the relative between stress and strain of the tailing dam，and the tailing dam in a existing state is analysed for exposing the stress condition in the dam，at the same time，the stability analysis of the tailing dam is proceeded through the slice method based on the limiting equilibrium theory like Fellenius method and Biship method to realize the quantitative analysis for the tailing dam stability，which is the very significant guiding for the safety of the tailing pond.