The stability analysis of slope under blasting disturbance is one of the important research topics in blasting engineering and geotechnical engineering. Based on the dynamic instabil-ity mechanical model of slope with weak interlayer, the mechanical effect of blasting dis-turbance on slope system is analyzed. The swallowtail mutation model of slope system under blasting disturbance is established. Two methods to determine slope stability under blasting disturbance are proposed: safety factor method and double judgment method. Through the analysis of the dynamic instability mechanism of the slope system under the effect of blast-ing disturbance, it is concluded that: (1) the greater the amplitude of blasting disturbance vibration, the worse the stability of the slope system, and the greater the possibility of land-slide disaster. The slope landslide disaster caused by blasting disturbance mainly occurs in the middle and late stage of blasting disturbance (0.17~0.5s). (2) When the period of blast-ing vibration wave (T>1s), the frequency of blasting disturbance wave can be appropriately increased, which is conducive to reducing the impact of blasting disturbance on slope stabil-ity. When the period of blasting disturbance wave (T<1s), proper adjustment of blasting disturbance frequency will not have a direct impact on the stability of slope. (3) With the increase of the incident angle of blasting vibration wave, the change of the dynamic self-stability critical height of the slope system shows a trend of increasing, and the in-creasing rate is decreasing. The greater the incident angle of blasting vibration wave, the worse the stability of slope system. Proper reduction of the incident angle of blasting vibra-tion wave is beneficial to improve the stability of slope system. Finally, the rationality and applicability of the proposed double judgment method are verified based on the actual con-ditions of the current slope in Laoyingzui.