One of the important issues in geotechnical engineering is the analysis of soil slopes and their stability. Especially in seismic areas, it is very important to design slopes as close to reality as possible. In this regard, in this thesis, the stability of reinforced, homogeneous and isotropic granular soil slopes has been discussed using the horizontal slice method in the viscoelastic medium and modified pseudo-dynamic analysis in two-dimensional mode (SR-MPD).