A numerical model is presented to assess the probable tsunami impact of future earthquakes occurring along the Eastern Mediterranean Ridge, and their effect on Alexandria, Egypt. On the 8th of August 1303 a major earthquake of magnitude about eight caused a large tsunami that killed many people around Alexandria, where ships were carried over buildings and settled on land. Calculations were done with an initial condition of continuous water flow normal to the shore line. This tsunamigenic event was examined to study the effect of location, direction, travel time and height towards the Egyptian Coast. Computed tsunami features such as travel times and run-up height distribution are given; which are useful in the evaluation of the tsunami hazard.