In order to study the stability of rock slope with serrated discontinuity, by combining with the empirical formula of shear strength of serrated discontinuity and considering the influences of structural plane parameters, anchoring effect, seismic action and groundwater depth, the safety factor calculation formula of anti-sliding stability of the slope with anchor structural plane was derived in this paper based on the improved pseudo-dynamic method, and the influential factors of rock slope stability were analyzed. The results show that the shear strength of the serrated structural plane has a linear relationship with the fluctuation Angle and increases with the increase of the fluctuation angle. With the increase of the seismic coefficient, slip plane dip angle, water level depth, slope dip angle and soil weight, the slope stability decreases and increases with the increase of the internal friction angle. The larger the anchoring force, the greater the shear strength of rock mass, and the anti-sliding stability of slope is improved. However, the increase of the anchoring angle has a negative effect on the stability of slope.