The stability evaluation of rock slopes in earthquake-prone areas is of great significance. Based on the pseudo-dynamic method, the calculation formulas of the stability safety factor of the rock slopes along river under different conditions was derived. Through parameter analysis, the impact of the seismic resistance of rock slopes such as horizontal and vertical seismic force, depth of cracking and fissure water, slope overload, anchoring effect, and flowing water erosion on the stability of rock slopes against overturning under different rock mass magnification factors was studied. Studies have shown that under different working conditions, the crack water accumulation, the horizontal seismic force, and the erosion of flowing water are not conducive to the stability of the rock slope against earthquake overturning, but the vertical seismic force, anchorage force, anchorage height, slope top overload, etc. are conducive to the seismic stability of rock slopes against overturning; with the increase of the rock mass amplification factor, the influence of horizontal and vertical seismic forces on the stability of rock slopes against overturning increases, slope crest overload, water depth of tension cracks, anchoring stress, anchoring height, and river water level have less influence on the anti-overturning stability of rock slopes, while the anchoring inclination angle and the height of scouring at the foot of the slope have less influence on the anti-overturning stability of the slope.