Abstract: The invention relates to a connector for an ostomy apparatus of the type that includes a first member attached to a holder to be attached to the skin of a user and a second member attached to a bag. The first member defines an opening, is made from a flexible material, and includes a continuous groove emerging radially. The second member includes an elastic ring and a flap that comprises, between the ring and the periphery thereof, a deformable uncoupling area permitting a relative movement of the portions of the flap which are respectively adjacent to the elastic ring and to the periphery.