The important effect of cave span,roof thickness and strength on the stability of cavern has been widely recognized,while the influence of geostress on the stability of karst cave is not yet clear.In order to explore the influence of geostress,this paper offers a numerical analysis program established on the basis of the geostress model and Coulomb-Navier yield criterion.The stability of karst cave under different geostress conditions is calculated respectively.And then,several beneficial results are produced from the analysis in order to facilitate decision making on the prevention and treatment of karst collapse.Finally,an engineering example is introduced to verify the validity of prediction.