This paper presents a novel physical simulation method for tsunami inundation flow with arbitrary flow velocity and inundation depth, which consists of steep front wave, super critical flow, and subcritical flow. In this method, an underflow gate, an overflow gate, and a valve are dynamically controlled to generate arbitrary flows in an experimental flume. Before an experiment, in order to control arbitrary flow velocity and depth at test section, temporal movement of the gates and valve is calculated by numerical calculations of open channel flows. The physical simulation method is verified by an experiment using a Froude scale model of a past tsunami. The result shows that the method is capable of reproducing arbitrary flow velocity and inundation depth of a scaled tsunami.