In order to discuss response of cavern under spatial inhomogeneous.indicate In the present paper,the influence of spatial inhomogeneous on the displacement characteristics of underground rock cavern under the effect of earthquake load is analyzed by finite-difference program FLAC.The results of primary analysis indicate that the influence of spatial inhomogeneous on rock cavern under the effect of earthquake load will decrease with the increasing of the depth and ground stresses side pressure coefficient;When the depth is more than 300m the influence degree of spatial inhomogeneous on rock cavern under the effect of earthquake load is lower than that when the depth is shallow(depth<300m);and influence of spatial inhomogeneous under the condition of side pressure coefficient 1 are significantly great than that of 1.