Abstract. This paper presents new ideas about the possibilities to increase the reliability of clay slope stability computation method. Many known methods are proved to give controversial results. The reason for this discrepancy is explained to be the result of assumptions and simplifications introduced into the methods, insufficiently precise estimation of porous water pressure, and the dependency of clay cohesion on a sudden change of compression as well. The method of a modified Boussinesq equation and slices is suggested to compute slope stability in terms of clay cohesion and internal friction determined under unconsolidated-undrained conditions.