Abstract: For shaping longitudinal grooves or comparable longitudinal structures into round housings or housings which are otherwise regularly shaped with respect to a longitudinal axis, a press is provided with a deforming tool whose top tool presses a workpiece through a corresponding roll arrangement of a bottom tool. The bottom tool has an opening which is coaxial to the top tool contains an axially displaceable cage provided with a group of rolls. The rolls are rotatably disposed in the cage and are supported on radially exterior abutments which are stationarily held in the bottom tool. The rolls are constructed as profile rolls and shape the desired longitudinal structures into the workpiece when it is moved through between the profile rolls. The resulting radial reaction forces are absorbed exclusively by the abutments and not by the cage. For supporting the longitudinal movement of the cage, a transmission is formed, for example, by gear wheels which are rotatably disposed on the cage.