The invention relates to an implant (4, 10, 17, 18, 19, 30, 37, 43, 48, 54, 56, 62) for implanting in and/or an eye (2) using fixing means (5, 11, 20, 21, 22, 23, 24, 25, 26, 32, 39, 57, 63, 64) enabling improved fixing, in particular with respect to the natural variability of the anatomical conditions of the eye (2). According to the invention, the fixing means (5, 11, 20, 21, 22, 23, 24, 25, 26, 32, 39, 57, 63, 64) comprise at least one support element (8, 15, 33, 65, 66) which can be mounted on a tissue structure (7) in the direction traverse to the optical axis (1) of the eye (2).