Abstract: To solve the problem of interaction between the blasting stress wave and the medium in the rock mass of the slope and the dynamic stability of the slope under the blasting load, based on the blasting vibration of Lutuo road cutting slope, the vibration velocity, stress field, etc. of the slope surface and the media internal particle were deeply studied by using numerical simulation methods in this paper. Results show that:1) For the particles at the slope surface, the increase of the horizontal blasting distance and the elevation cause the peak velocity of the blasting to decrease. However, the whiplash effect at the edge of the step is obvious, and the closer to the source, the larger the amplification factor of the peak vibration velocity is. 2) The stress concentration at the foot of the slope is significant. However, the maximum value of the stress does not coincide with the position where the peak vibration velocity occurs. Therefore, it is not reasonable to simply use the peak vibration velocity of the particle at the edge of the slope as an indicator for evaluating the stability of the slope. 3) For the particles inside the rock mass, the blasting vibration also gradually decays with the increase of the distance to the blasting source. However, the superposition of the reflection of the stress wave on the slope and the rock interface will cause the peak vibration velocity to be enlarged, and the stress on the rock mass will also increase.