The ship response test using Transient Water Waves (T. W. W) is highly effective method in the linear field. But the luck of informations about non-linear characters of T. W. W makes us uneasy, because the limitation of this method is not clear. In this report, proceeding with the report No.1, the author shows strong non-linearities of T. W. W on the base of Spectrum, and propose some hypotheses illustrating these phenomena, especially phase shift.