A simple and powerful method in the simulation of strong ground motion, vastly used in recent researches is the stochastic finite-fault method proposed by Atkinson and Beresnev. This method is used for simulating the recorded destructive 26 December 2003 Bam earthquake in southern part of Iran. In this approach the finite-fault plane is subdivided into elements and a stochastic 2 ! spectrum is assigned to each element. The ground-motion amplitudes are simulated as a summation of stochastic point sources. The results of the synthesizing ground motion such as acceleration time history, response spectra are compared with those of observed data. Good agreement of time series parameters (i.e. PGA, Sa, Sv and Sd) are obtained which confirm that selected source parameters were satisfactory reliable.