Strong motion records of Uttarkashi earthquake have been modelled by using modified approach of Midorikawa (1993). The method of simulation gives total accelerogram at desired observation point for a model source of an earthquake. Synthetic accelerogram has been calculated by multiplying filtered white noise with the envelope of accelerogram at a particular observation point. Filters through which white noise passes include effect of geometrical spreading, effect of anelastic attenuation and near-site attenuation at high frequencies. The method and its dependence on various modelling parameters are studied in detail which shows that property like directivity in strong ground motion is satisfied. Thirteen accelerograms are simulated for the source model of Uttarkashi earthquake and their quantitative comparison explains the utility of method and its applicability for Himalayan earthquakes for simulation of strong ground motions.