This study aimed at investigating the effects of the target shape, the movement distance, the target size, and the direction of target presentation on the pointing performance using an eye-gaze input system. The target shape, the target size, the movement distance, and the direction of target presentation were within-subject experimental variables. The target shape included: diamond, circle, rectangle, and square. The direction of target presentation included eight directions: upper, lower, left, right, upper left, upper right, lower left, and lower right. As a result, the pointing time of the rectangle tended to be longer. The upper directional movement also tended to prolong the pointing time. Such results would be effective for designing an eye-gaze- input HCI (Human-Computer Interaction). Moreover, as a result of modeling the pointing time by Fitts' modeling, it was suggested that the index of difficulty in Fitts' modeling for the rectangle should be defined separately from the circle, the diamond, and the square.