To solve the problem of slope stability analysis and slip surface determination in projects,an analytical method was proposed in this paper.First,based on the basic assumption and the geometric relationship of slope,a model for determining the critical slip surface of slope was established,and the governing equation of slip surface was derived.Then,based on the limit equilibrium theory,the analytical expression of safety factor associated with the governing equation of slip surface was derived.Finally,the minimum safety factor and the corresponding critical slip surface could be obtained by solving the minimum value of objective function (unary function) in the definition domain.The calculation results showed that the analysis results of slope stability with the proposed method are basically consistent with those with the traditional limit equilibrium method,and the deviation of the minimum safety factor calculated by the two methods is less than ±5%;The critical slip surface determined by the proposed method is close to that widely searched by the traditional limit equilibrium method.The method in this paper can be used as a reference for efficient and accurate slope stability analysis and slip surface determination.