An roller-flanging device for flanging at least an end region of a cylindrical body includes a receptacle having a longitudinal axis common with the cylindrical body being flanged. Flange rollers are rotatably seated in the receptacle about the common longitudinal axis, and roll along a surface of the cylindrical body. The flange rollers each have a part with a cylindrical surface and a flange collar for forming a flange contour on the cylindrical body. At least one limiting body is disposed between contiguous ones of the flange rollers, and extends inwardly toward the common longitudinal axis beyond the circumscribed cylindrical surface of the cylindrical parts of the flange rollers at least when forming the flange. The at least one limiting body prevents burrs or material from the cylindrical body from reaching or extending beyond the cylindrical surface of the flange rollers, and assures a uniform flange diameter.