A new method to analyze the seismic stability of the cut soil slope is suggested in this study. In the method, the limiting equilibrium theory and the stress analyzing method are used. The stress acceptability criterion is based on the limited strength of soil. Two basic assumptions are given in the method. One is that the slip surface can be replaced by a series of straight lines. The other is that the interslice boundary is an inclined plane. Three balance equations for any slice, which are two for force equilibrium and one for moment equilibrium, are proposed. An iterative method, which solves the balance equations from the first slice to the last slice, is also suggested. In the new method, the slip surface is not predefined, but is obtained slice by slice going from downhill to uphill in terms of the force and moment balance equations of the slice.