When a frame rate decreases or a image movement velocity increases, a jerky movement called "jerkiness" is perceived. A number of researches have been done to characterize the jerkiness of 2D images. However, the jerkiness of 3D images has not been much studied. The aim of this research is to characterize the jerkiness of a high-density directional display that has been developed as a natural 3D display. We previously reported the results of the subjective evaluations under the static viewing condition as a preliminary. In this paper, we conducted subjective evaluations under the dynamic viewing condition. When the direction of the apparent movement of 3D images on the display screen caused by the head movement and that of the movement of 3D images were equal, the detection threshold and the tolerance threshold for the image velocity increased. When they were opposite, the detection threshold and the tolerance threshold decreased.