The present invention concerns a connecting member for an ostomy device as well as a connector for an ostomy device. The object of the invention is to make available to users an ostomy device offering greater comfort and fitting the patient's body better. This problem is solved according to the present invention by means of a connecting member (1) of an ostomy device which is mounted on a support (2) intended to be affixed to the skin of a patient and which surrounds an opening (3) in the support (2). The member according to the invention is characterised in that it comprises a first piece (4) consisting of a flexible material and with two essentially parallel faces (6, 7), the first of which is affixed to the support (2). The member further comprises at least one second piece (5) consisting of a rigid material. This second piece (5) is affixed onto the second face (7) of the first piece (4) and extends at least partially beyond the external contours of the first piece. The problem to be solved by the invention is also resolved by a connector for an ostomy device comprising a first connecting member of the type described above. The second member comprises on its internal side an elastically deforming lip (11), the free end of which is oriented towards the pouch (9). This lip (11) reduces the internal dimensions of the second member to slightly less than the external dimensions of the first member.
