A stochastically based seismological technique widely used is utilized for simulating strong motion acceleration time history recorded during the destructive 22 February 2005 Zarand earthquake in Iran. This method provides incorporating of various factors such as source rupture process, source density, shear wave velocity, and path-soil-site effects into simple function forms. This approach is useful for far rather than near-source sites simulation, particularly for high frequency ground motions of most interest to engineers (generally f>1 Hz.). For validation purpose, the appropriate seismological parameters for the model were selected/calculated, and the simulated peak ground motion time histories as well as the elastic response spectra (i.e. Sa, Sv, Sd ), are compared with those of observed records. The good agreement of the two data confirms that the observed and synthesized ground motions are satisfactorily acceptable, reflecting the effectiveness of the technique and also reliability of the results. Also the sensitivity of the simulated peak strong motion PGA against the path-frequency quality factor, Q (f), is studied and assessed Hence, the model could for the region to be used in predicting probable destructive earthquakes in the future.