The suction ring of the application is intended to fix the human eye during surgery. Whereas hitherto, only rings without suction permitted the intraocular pressure to remain unchanged or whereas the suction rings used for a desired increase of the pressure comprised a hollow profile that was open towards the inside, the ring of the present application permits secure fixation of the eye without deforming the eyeball or increasing the internal pressure. The ring comprises an outer rectangular profile (1) which carries an inner member (2) that rests against the eye, extends annularly, has a triangular cross-section and leaves two channels via webs (4) between the inner member (2) and the ring wall (1) in order to achieve a reduced pressure. The circularly extending inner wall (2) lying between the two channels rests against the eye and avoids deformation of the eye by the fixing suction. Fixation of the ring on the eye is guaranteed by the two suction channels (3) without it being possible for the eye wall to be drawn into the hollow profile. The suction is generated by an external vacuum source through the hollow handle (6). The central ring opening (7) can be used to receive additional concentric rings which permit guidance of a knife. <IMAGE>