Abstract: So far as staiblity analysis of slope, both searching and determing the potential sliding surface and creating model of reliability analysis are two important aspects in theoretical research and application from limit equilibrium theory. In this paper, according to the conventional calculation formula for slope stability analysis, the constrained condition determined by random variable is proposed for the stability and reliability analysis of soil slope by using chance constrained programming. Finnaly, a real case as an example is taken to calcualte the minimum safety coefficient and reliability index.