Using a numerical model solving the shallow-water equations, unusual huge run-up heights observed in the lees of both Babi and Okushiri islands were investigated in detail. The effects of incident tsunami widths were particularly examined by adjusting the transverse length of the wave-maker in laboratory and numerical experiments. The calculated run-up heights were compared with the laboratory experimental data. It has been found that the run-up heights in the lee of a conical island are strongly dependent on the ratio of a transverse length of incident tsuanmis to a base diameter of the island. Keywords : shallow-water equations, tsunami, run-up height, conical island.