The responses of transient wave propagation in a single dipping layered medium overlaying a half space was investigated in this study. To obtain the responses, a point source located in the dipping layered medium was assumed, and in order to make the results more consistent with real situations, the time functions for source mechanism, such as parabolic ramp function and triangular time function, were considered in this research. Finally, the famous mathematical tool with physical significance, the generalized ray theory [4], was employed to solve the foregoing problem, and the ray paths and responses for the distinct locations on the surface were then obtained and shown in sketches. It was found from the obtained results that the responses decay with the distance from the focus just as expected.