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Hoek-Brown criterion is widely used to predict rock strength and analyze stability. Convert the H-B formula to find the relationship between the normal stress sn and shear stress t of the sliding surface. Combined with the H-B criterion, gives a formula Fs to solve the safety factor. The research shows that the Fs is associated with H-B constants mi, geological strength index GSI, disturbance factor D, slice parameter ai , ration of normal stress and saturated single axis compressive strength Sri. Through building rock slope model, to analyze the safety factor Fs at different ranges of parameters. Compared with the results of Swedish slice method, Janbu method, Bishop method and M-P method, it displayed the new algorithm’s rationality and limitations .Finally verifying the applicability of the new algorithm’s through the engineering example.