A crimping device (1) comprising a crimping bed (12) provided for receiving a workpiece (10), a multiaxial manipulator, in particular an industrial robot (2), which has a crimping tool (5) with at least one crimping roller (6) on its hand, is intended to avoid fold formation on the flange (11), particularly during the pre-crimping. To this end, at least parts of the crimping roller (6) have the form of a cone or a truncated cone having an axis of symmetry (27), an apex (26), and an opening angle .alpha., wherein for the opening angle .alpha. of the cone it holds that 180.degree.>.alpha..gtoreq.140.degree..