An apparatus for measuring a corneal shape includes a projecting device projecting a set of point sources, which are substantially on a same circle, onto a cornea. A detecting optical system defects the positions of the point sources projected onto the cornea by the projecting device. A selecting device selects a plurality of the corneal reflection images detected by the detecting optical system, each of which consists of at least 3 points forming a part of the circle. A calculating device obtains a part of the corneal shape by presuming an ellipse containing the points of each selected group in the corneal reflection images. A displaying device displays the corneal shape based on the results obtained by the calculating device.