1. A method for determining the eye position, in which points of a transition region between sclera and iris of the eye are established, the coordinates of which points are calculated and this is used to determine the position of the iris plane or a plane aligned parallel thereto, wherein a light pattern is projected onto a surface of the eye such that it intersects the transition region between sclera and iris, an image of the light pattern projected onto the eye surface is captured, from which the points of the transition region between sclera and iris are established, and the method further comprises calculating spatial coordinates x, y and z of the points by triangulation, wherein an elevation of the surface on which the light pattern is projected is determined via the use of a displacement of the light pattern.