At　present,　the　pseudo-static　analysis　method　has　been　mostly　used　in　the　design　of　slope　supported　with　anchors,　but　it　cannot　consider　the　anchor-slope　interaction　under　earthquakes　and　accurately　calculate　the　dynamic　stability　of　the　slopes　supported　with　anchors.　So,　the　dynamic　finite　element　strength　reduction　method　is　employed　to　evaluate　the　dynamic　stability　of　rock　slopes　supported　with　anchors.　The　proposed　method　can　consider　the　dynamic　response　of　bolts　and　rock　mass,　the　dynamic　rupture　surface　of　slopes　and　the　variation　of　axial　force　of　bolts.　It　is　used　as　a　method　for　the　design　of　slopes　supported　with　anchors.　The　allowable　safety　factor　of　the　slopes　is　required.　Based　on　a　typical　example　of　bolting　slope　analysis,　the　parameters　of　sensitivity　analysis　are　studied.　The　results　can　be　the　technical　support　for　the　design　and　optimization　of　slopes　supported　with　anchors　under　earthquakes.