Finite element analysis was conducted on the stress, vertical displacement, and horizontal displacement of ordinary concrete and ductile concrete gravity dams under different working conditions. The results show that: with the decrease of the height of the dam, the stresses on the two concrete dams gradually increase, and the vertical displacements show a decreasing trend during the operation period. Under the effect of earthquakes, the maximum stress of the two kinds of concrete gravity dams appears at the weak point of the dam body. The maximum stress of the normal water level and the falling water level of the ordinary concrete dam reach 9.91 MPa and 9.85 MPa respectively. The maximum stress of two types of concrete dams under seismic conditions is approximately 4 times that of the operation period. Under different working conditions, the maximum stress and displacement of the ordinary concrete are always smaller than that of ductile concrete.