Abstract: In order to accurately quantify and predict the evolution of slope stability of fault-containing slopes under the long-term effect of blasting vibration, and to realize the safe, efficient and sustainable mining of open-pit mines. Taking an open-pit mine as the engineering background, the dynamic characteristics of blasting seismic waves in time and space dimensions are investigated by on-site vibration testing and numerical calculations, and the propagation and attenuation laws of blasting seismic waves in the horizontal and vertical directions are studied to elucidate the mechanism of elevation amplification effect and the vibration isolation effect of faults; Hopkinson compression rod impact test is used to study the crack expansion and damage deterioration laws of slope rock and soil bodies under the effect of cyclic blasting impacts. Established the quantitative relationship between the intensity and frequency of blasting vibration and the internal damage of the rock body, and established a dynamic damage degradation mathematical model of the slope geotechnical body; applied FLAC^3D numerical simulation to study the characteristics of the dynamic response of the slope under the action of blasting vibration, and analyzed the potential landslide mode of the slope and the mechanism of destabilizing evolution, and put forward the calculation method of the stability of the slope containing faults under the action of blasting vibration, and analyzed the effect of the blast vibration on the stability of the slope quantitatively. Quantitatively analyze the effect of blasting vibration on slope stability, predict the number of blasting vibration that the slope can withstand. The results show that: blasting vibration has a greater impact on slope stability, the maximum dynamic stress response of the slope under the action of blasting vibration is positively correlated with the amount of single shot, elevation difference, and negatively correlated with the center of the blast distance; with the increase of the maximum dynamic stress of blasting vibration and the number of blasts, the damage parameter is an exponential function of the damage parameter is larger, and the rate of reduction of the dynamic-static coefficient of safety of the slope is a trend of the power function of the increase. Combined with engineering examples, it verifies the reasonableness of the calculation method of slope stability of fault-containing slopes under the action of blasting vibration, and provides a new perspective for the evaluation of slope stability of similar mines.