Soils above a fault are often deformed by propagation of bedrock thrusting from the fault during large earthquake. In this research, the behavior of the earth dams located on the fault zones was investigated under the strong earthquake with finite element modeling. For this purpose, a 3D finite element numerical model was performed for verifying using ABAQUS finite element commercial software. This 3D model was a homogeneous soil under fault displacements that was experimented by Ming-Lang Lin. Then, Germichay dam, located above a fault, has been modeled. In this modeling influence of static and dynamic displacements has been investigated on the stability of dam by three records (Nortridge-Arleta, Nortridge-Newhall and Sanfernando-Pacoima dam). Results indicated that dams could be designed safe above the fault and Germichay dam could be safe until 50cm displacement of fault. In addition to, failures are concentrated in the static displacements rather than dynamic displacements. Moreover, the influence of static displacements on the faulting zones is less than record influence