This thesis presents a comparison between the methods generally used for dynamic stability analysis of earth slopes, based either on a pseudo-static approach (limit equilibrium method) or on a dynamic approach (finite element method). Forty-seven profiles from the Costa Verde slopes located in Lima, Peru, were analyzed with both classes of methods. In this region seismic activity is quite common, caused by subduction of the Nazca plate into the South American Plate. The design seism was established from regional studies of seismic risks and the accelerogram used in this research corresponds to the seismic records from a major earthquake that hit Lima on October 3rd, 1974, herein normalized with respect to the maximum design acceleration of 0,33g. The results obtained with pseudo-static and the finite element methods presented differences in some specific soil profiles, probably because the pseudostatic methods admit that the inertial forces are constants through a soil slice and there are no changes in direction of the dynamic forces during the period of seismic excitation.