This paper proposes an algorithm that has been developed for the video-oculograph method. It is used to detect the center of the pupil, extracted from a captured image of an eye acquired by using a CCD camera and a computer with image grabber. The captured eye image is 640 by 480 pixels in size at 8 bits per pixel, in depth. The center of the pupil area could be obtained by applying the proposed algorithms for the threshold of the captured gray-scale image, for image enhancement and noise removing techniques even though the pupil area was partially covered by eyelashes and an eyelid.