Abstract: On account of the stochastic method of ground motion simulation based on seismology theory and the finite fault source model which can describe the complexity of the earthquake source accurately, the stochastic finite fault method is applied directly to generate the maximum credible earthquake. Two theories of the stochastic finite fault method, including the static corner frequency theory and dynamic corner frequency theory, are compared. According to the static corner frequency theory, a Fortran program SFFMSIM is developed, while EXSIM, a program based on the dynamic corner frequency theory, is introduced for comparison. The stochastic finite fault method and procedures of simulating ground motions used in this paper are validated against strong motion data of 1994 Northridge earthquake. Finally, taking the Dagangshan hydropower for example, the artificial accelerograms of the maximum credible earthquake generated from the rupture of Moxi fault and recorded at the dam site are simulated by the stochastic finite fault method. The results show that the average values of the strong-motion amplification factors produced by the stochastic finite fault method and those derived from 80 real rock accelerograms are in good agreement. There are some differences between strong motions simulated by the static corner frequency method and dynamic corner frequency method when the slip distribution on the causative fault is unknown.