Abstract: A magnetic gripping device having a magnetic assembly in turn having an outer magnetic core, and an inner magnetic core mounted inside the outer magnetic core so as to rotate, about a given axis of rotation, between a first operating position, in which the inner magnetic core prevents the outer magnetic core from attaching magnetically to the surface of a generic part of ferromagnetic material, and a second operating position, in which the inner magnetic core allows the outer magnetic core to attach magnetically to the surface of the part; the gripping device also having a torque-control actuating device, which, on command, rotates the inner magnetic core in such a manner as to set it selectively to the first or second operating position, while controlling the value of the twisting torque employed in doing so.