The purpose of this study is to develop a method to record the trajectory of the walking path of a person using a laser range finder, and to move a robot along the recorded trajectory. To record the trajectory of the person, we first smoothed the trajectory because the precise trajectory of walking human is oscillative. Then, we reduced the number of points to be recorded. Finally, we created a path by connecting the recorded points when the robot moves along the recorded trajectory. We propose a method to smooth the trajectory with the exponential smoothing, reduce the trajectory points using the typical step length of an adult male, and connect the points with straight line. Then, we controlled the robot to move along the recorded path. We verified the effectiveness of the proposed method by an experiment to move along an S-shaped path.