Abstract: In order to study the stability of the salt-cavern gas storage with mudstone interbeds subject to the explosion of combustible gas, a numerical model for the deep salt-cavern gas storage was established using the finite difference software FLAC^3D. And the dynamic response of salt-cavern gas storage with mudstone interbeds to the explosion loads was investigated, including the change of the stress state, the seismic dynamic amplitude and the stability of the surrounding rocks of the salt-cavern gas storage. It is shown that under the explosion effect of combustible gas, the change of the stress in mudstone interbeds is basically accordant with that in the salt rocks and there are no obvious weak parts. The impact of artificial fitted explosion shock wave to the surrounding rock is severer than that of the triangle explosion wave. The damage of the explosion of combustible gas to the surrounding rock of the cavern is limited and it attenuates rapidly with the increase of the depth. The anti-explosion capability of the deep salt-cavern gas storages is much stronger than that of shallow caverns, which is favorable for the stability of gas storage caverns.