Abstract: This closure device comprises a removable closure for closing the neck of the container and a sealing piece adapted to be applied in tight abutment on the pouring edge of the neck by the closure. The sealing piece defines, on its side intended to be turned towards the pouring edge, a first surface for tight abutment on the pouring edge and, on the opposite side, a second surface for pressing abutment of the closure, the respective contact properties of these first and second bearing surfaces being adapted to provoke, upon application of an effort of pressure on the sealing piece by the closure, a rotational connection of the sealing piece and of the neck at the level of the first bearing surface and a sliding contact between the sealing piece and the closure at the level of the second bearing surface. The invention is more particularly applicable to the closure of containers made of glass or a similar fragile material.