A method and system for performing an ocular irradiation procedure on a patients eye is disclosed. The system includes a head support for supporting the patients head, an eye-contact device attachable to the front portion of the patients eye, to stabilize the position of the eye and a position detector for determining the position of the contact device in the external coordinate system. A source of a collimated electromagnetic radiation beam in the system is controlled by a beam-positioning assembly for positioning the beam source such that the beam, when activated, is aimed along a selected path at a selected coordinate in the external coordinate system corresponding to a selected target region in the patients eye.