Peru is located in the region called the Pacific fire belt, where approximately 85 percent of the world seismic activity is recorded. As a major ore producer, important structures are built in the country to develop mining projects, including tailings dam. The dissertation investigates the potential for dynamic liquefaction of a tailings dam located in the central region of Peru, whose height is currently being raised by the center line construction method. Liquefaction of soils is a phenomenon characterized by loss of stiffness and resistance over a short period of time, but sufficient to cause instability and, in extreme cases, the collapse of the structure. Numerical analyses were carried out to verify the dynamic liquefaction potential of the dam, representing the cyclical behavior of the materials susceptible to liquefaction by the constitutive model UBCSand and Byrne, considering an earthquakes of magnitude 8,2, 7,8 and 8,1. Numerical results obtained were compared with simplified formulations used in the practice of engineering in order to determine the safety factor against dynamic liquefaction. The analyses indicated that fine tailings, below the water table level, have potential for liquefaction, according to the values of the poropression parameter (ru) computed, but without risk to the general stability of the structure. Results are also presented in terms of permanent displacements at some points of the dam and tailings.