A significant anisotropy is found in the permeability coefficient of the rockfill of a concrete-faced rockfill dam. A 2-D and 3-D fixed-mesh FEM seepage analysis is made on the concrete-faced rockfill dam of the Jishixia Hydropower Project under both normal conditions and abnormal conditions where a crack occurs in the slab. The FEM meshes are obtained according to the designed schemes and topography of the dam. The seepage field and seepage amount of the dam are calculated. The effect of the crack’s location on the seepage is also discussed. The calculation results show that the dam is stable in the seepage aspect under the normal design water level. The position of the crack has a significant effect on the seepage field and seepage amount of the dam.