This research investigates the seismic behavior of the Breapampa earth dam, situated in Peru within a seismic activity zone. The numerical prediction is carried out using the computer program FLAC 2D v.7, based on the finite difference method. it is simulated the incremental construction of the dam, the gradual raise of the water level during the stage of reservoir impounding, the establishment of the phreatic line under steady state flow and the determination of safety factor for the stability of the soil slopes considering both conditions of after construction and after reservoir impounding. The modeling of the seismic behavior of the dam is then made with detailed discussion of several important aspects for a correct analysis such as the selection of the design earthquake, the filtering of high frequencies in order to minimize the number of elements in the mesh, the introduction of silent boundaries, the choice of proper constitutive soil models including the representation of hysteretic damping, among others points. The seismic response of the dam, under the conditions of full and empty reservoir, was obtained in terms of permanent displacements, displacement history, amplifications horizontal acceleration amplification, porepressure distribution and potential of cyclic failure in the saturated material of the core of the dam.