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. It has been explored what type of cursor shape is suitable for eye-gaze input interfaces. On the basis of the data for identifying the effects of the aspect ratio of a target and the movement direction on the pointing time, an attempt was made to develop a generalized and extended Fitts’ model that took into account the movement direction and the shape of a target. As a result, the generalized and extended model was found to fit better to the experimental data.