Natural slopes consist of non-homogeneous soil profiles with distinct characteristics from slopes made of homogeneous soil.In this study,the limit equilibrium modified pseudo-dynamic method is used to analyze the stability of two-layered c-φ soil slopes in which the failure surface is assumed to be a logarithmic spiral.The zero-stress boundary condition at the ground surface under the seismic loading condition is satisfied.New formulations derived from an analytical method are proposed for the predicting the seismic response in two-layered soil.A detailed parametric study was performed in which various parameters (seismic accelerations,damping,cohesion,and angle of internal friction) were varied.The results of the present method were compared with those in the available literature.The present analytical analysis was also verified against the finite element analysis results.