This study analyzes the seismic stability and behavior of a filtered tailings dam located on the coast of Peru, in a high seismicity zone, through the use of simplified one-dimensional (1D) methods and two-dimensional (2D) numerical methods, subjected to seismic movements with return periods of 475, 1000, and 2500 years, as well as the MCE, and compares the results in terms of response spectrum and earthquake-induced displacements. The geotechnical parameters of the filtered tailings and the foundation were estimated from geotechnical field investigations and a laboratory testing program. Likewise, the seismic conditions were characterized based on the uniform hazard spectrum obtained from a seismic hazard study, and a spectral adjustment was performed with representative seismic records previously corrected for baseline and filtering. To evaluate the dynamic response using simplified methods, the methods of Newmark (1965), Sarma (1975), Makdisi & Seed (1978), and Bray, Macedo & Travasarou (2018) were used, considering the criteria of each to obtain permanent displacements, such as yield acceleration, degraded period, spectral acceleration, magnitude, among others. Earthquake-induced displacements were also estimated with 2D numerical methods using the Plaxis finite element software. The Hardening Soil with Small Strain Stiffness (HS Small) constitutive model was used to characterize the behavior of the filtered tailings, while the Mohr Coulomb (MC) constitutive model was used to analyze the foundation materials, and the Linear Elastic model for the bedrock. Because simplified methods are relatively easy to understand and apply in a reduced time and at a relatively low cost, the comparison of the seismic response obtained with these methods and with numerical methods allowed us to conclude on the applicability and reliability of the simplified methods commonly used in seismic stability analysis of geotechnical installations.