Even though the pseudo-static procedure for seismic slope stability analysis of tailings storage facilities (TSF) is very common in practice, new methodologies have been studied regarding the calculation of seismic induced permanent displacements of earth structures, which is considered a more reliable parameter for evaluating the seismic stability of a geotechnical structure compared to the calculation of a safety factor. In general, there are three approaches for calculating the seismic response analysis of earth structures: (1) rigid-block, (2) decoupled and (3) coupled procedures. The Houston et al. modification of the Newmark procedure is the most recommended rigid-block procedure. The Makdisi and Seed decoupled simplified procedure is one of the most popular among practitioners and is also based on the Newmark method. Recently, Bray and Travasarou updated the Makdisi and Seed method, analyzed new information by using a numerical coupled analysis and developed a simplified coupled procedure that may be used more consistently. As for coupled procedures, software such as PLAXIS and FLAC have been used as the most accurate tools in geotechnical engineering for estimating seismic induced permanent displacements. The authors have studied the application of these approaches to assess the seismic stability of TSF based on a case study. 1D nonlinear seismic response and slope stability analyses were performed as part of these applications. Dynamic laboratory tests on tailings and the dynamic curves derived were compared to current state-of-practice literature curves. The resulting displacements showed, in general, a good correlation between these procedures. This research suggests that the analysis should be less focused on the pseudo-static factor of safety as a parameter to predict the seismic stability of a TSF, unless a rational criterion has been chosen for the determination of the seismic coefficient. Finally, the Bray and Travasarou procedure is suggested as a rational method to properly estimate seismic induced permanent displacements for TSF as a better index to establish the seismic stability of these facilities.