Abstract: 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.