Abstract: A mechanical clamping device, especially for clamping with high force of workpieces and tools, provided with clamping elements, characterized by an axial movable and helical rotatable conical wall (11,21), against which rest similar bodies of revolution (12,22), which are positioned on a changeable concentric circle of center between two converging, concentric surfaces of revolution (13,14,23,24), which are movable axially in respect of each other. Due to the extreme favorable behaviour of the rotating bodies of revolution (12,22) which displace themselves at rotation in a helical way between the surfaces of revolution (13,14,23,24), these surfaces are rolled and forced from each other. By this a favorable and equally distributed force transmission is obtained with a high degree of efficiency.