A corneal reflection position estimation system according to an embodiment includes: an image acquisition unit configured to continuously acquire an image of an eye of a subject by controlling a camera equipped with a light source, the image acquisition unit being configured to acquire a plurality of pupil images taken by using light from the light source and then acquire one unilluminated image taken without using light from the light source; and an estimation unit configured to calculate positions of corneal reflection or corneal sphere centers, which correspond to the plurality of pupil images, as reference positions, calculate a movement vector of the corneal reflection or the corneal sphere center based on a plurality of the reference positions, and estimate the corneal reflection position in the unilluminated image based on at least the movement vector.