This invention relates to the production of an elongated rolled rim on a metal container in which, in a first operation, the rim of the container blank, which has previously been leveled off, is rolled over by a tool which is displaced parallel to the axis of the container and the end of the operating travel of which is determined by its distance from the plane of the outside face of the bottom of the container, and in a second operation, the rolled-over portion is pushed downwardly by a second tool whose operational engagement surface is different from the first tool and whose operating travel is also limited by its distance from the plane of the outside face of the bottom of the container, the difference between the two distances determining the height of the rolled rim of the container.