This paper proposes a technique of using the movement of eyes to control the movement of cursor on monitor screens. Thereby, creating new ways of Human Computer Interaction (HCI) and also helping physically handicapped people to interact with computer devices more efficiently. Earlier eye gaze optical mouse comprised of a head gear which had an eye motion sensor attached and were more hardware based. The input gathered through these sensors helped in cursor movement on screen. With the advancement in the field of Image Processing Techniques and Artificial Intelligence, a simple web camera attached with computer can be used to perform this task. In this paper, pupil of the eye is detected. The coordinates gathered by tracking pupil movement are mapped with the coordinate of display monitor. Based on this mapping the mouse cursor can be moved on the screen.