The stability of a slope located between the Belen and El Espejo sectors, Merida, Venezuela with high seismic hazard, due to the presence of the active Bocono Fault, which together with high rainfall and steep slopes, represent triggering factors where the slopes are prone to landslides. Through the Limit Equilibrium (LEM) and the Finite Element (FEM) Methods, we seek to identify the area's most prone to damage in the event of a landslide. The slope studied is located in an area unfavourable geomorphological zone, due to the erosive action of the Chama river that undermines it, generating gullies with detrital flows that affect its stability. The study of slope stability began with the compilation and review of bibliographic, the collection of soil samples for laboratory tests and the calculation of its properties and geomechanically parameters. The data obtained are used for the study of soil behavior and the calculation of the safety factor through of the Slide and Plaxis programs. It was determined that the slope is more unstable for the saturated pseudo-static condition in both programs. It is recommended to implement bioengineering as slope stabilization methods, in the upper zone of the slope, where there is damage to houses that are in danger, suggesting the biomantle, double torsion mesh and passive anchors, as a proposal of recommendation for the stabilization of the slope studied.