During the Hyogo-ken nanbu earthquake, strong pulse with maximum acceleration of over 800cm/s² and with maximum velocity of over 100cm/s was recorded at JMA Kobe. As the recorded waveform is very simple, numerical simulation of acceleration pulse will be possible using source model. In this study, a new two dimensional slip function model is proposed which expresses slip process of asperity referring already published rupture process estimated by inversion of strong motion records. In the former half of this paper, formulation of the 2-D slip function and one case study are shown. In the latter half, numerical simulation of pulse record at JMA Kobe during the Hyogo-ken nanbu earthquake is shown and applicability of the proposed model is discussed.