Provided herein are methods for objectively determining a visual axis of an eye. An optical axis of a measuring instrument is aligned with an unambiguously determinable axis of the eye which is the pupillary axis crossing the vertex of an anterior surface of a cornea and perpendicular to the vertex. A wave front tilt of radiation of a set of narrow laser beams backscattered from the retina is calculated as a tilt component in a polynomial that describes the wave front. The visual axis is reconstructed from a set of chief rays exiting from the eye after crossing nodal points of the optical system of the eye.