Based on surveys of buildings passing through ground fissures, failure and deformation characteristics of buildings are analyzed. Failure models of buildings under the influence of Xi’an ground fissures are proposed. By means of the simulations on PLASIX, taking for the f6 of ground fissures in Xi’an city, the variations of stress field and displacement field of the overlying soil layer which the normal fault qualitative ground fissures lead to are studied. It separately calculated out of the variation of the features of deformation, when brick masonry, block masonry and stone masonry act as solely material of the building. The total, vertical and horizontal deformation of buildings built of stone masonry are the largest and brick masonry’s deformations are the smallest. It is suggested that materials with small gravity density should be used for building materials.