The utility model provides an overlapping device for covering the edge which is a device that a cover covered the container protrudes the periphery outside the flange at the edge of the container mouth to overlap downwards. The device is under the state of the annular plane of the support bracket supporting the flange of the container. The inner cone section of the mould on the covering edge is pushed and pressed to upper side of the edge side of the outer peripheral of the annular plane by the edge of the cover, so as to make the edge of the cover overlap downwards.