A zero point clamping device for fixation of an object, in particular a workpiece, a tool or a palette, or a carrier element to which the respective object is mounted, centrically and with repeated precision, consisting of: - a housing, - a receiving opening incorporated into the housing, which has a centering axis, to which the axis of symmetry (2' or 3') of the object or the carrier element can be aligned coaxially during the clamping process, - at least two clamping slides (7, 8 or 9), each of which are supported in a bore provided in the housing in an axially displaceable manner, and which open into the receiving opening during the state of clamping to thus be able to act upon and fix the object or the carrier element, - and of an actuator element rotatably supported in the housing, by means of which the clamping slides (7, 8, 9) are movable, wherein a rotational axis of the actuator element extends tangentially and at a distance to the receiving opening, wherein at least two drive segments (21, 22, 23) are floatingly supported in the housing, which extend around the centering axis of the receiving opening in an arch-shaped manner, wherein each of the clamping slides (7, 8, 9) is connected to one of the drive segments (21, 22, 23), characterised in that - in the actuator element two thread grooves (13, 14) are incorporated at a distance to one another, whose respective thread grooves (13, 14) have an identical pitch and are designed to be oppositely inclined to one another, - that into each of the thread grooves (13, 14) a driving pin (15, 16) is inserted that is drivingly connected with the respective thread groove (13, 14) in such a manner that by means of the rotation of the actuator element the drive pins (15, 16) are movable along the rotational axis of the actuator element, - that two of the drive segments (21, 22) are drivingly coupled with the actuator element via one of the respective drive pins (15, 16), - and that between the two drive segments (21, 22) connected with the actuator element and the drive segments (21, 22 or 23) arranged adjacent thereto, one respective pivot pin (17, 18) is provided for forming a rotary joint. - a housing, - a receiving opening incorporated into the housing, which has a centering axis, to which the axis of symmetry (2' or 3') of the object or the carrier element can be aligned coaxially during the clamping process, - at least two clamping slides (7, 8 or 9), each of which are supported in a bore provided in the housing in an axially displaceable manner, and which open into the receiving opening during the state of clamping to thus be able to act upon and fix the object or the carrier element, - and of an actuator element rotatably supported in the housing, by means of which the clamping slides (7, 8, 9) are movable, wherein a rotational axis of the actuator element extends tangentially and at a distance to the receiving opening, wherein at least two drive segments (21, 22, 23) are floatingly supported in the housing, which extend around the centering axis of the receiving opening in an arch-shaped manner, wherein each of the clamping slides (7, 8, 9) is connected to one of the drive segments (21, 22, 23), characterised in that wherein at least two drive segments (21, 22, 23) are floatingly supported in the housing, which extend around the centering axis of the receiving opening in an arch-shaped manner, wherein each of the clamping slides (7, 8, 9) is connected to one of the drive segments (21, 22, 23), characterised in that - in the actuator element two thread grooves (13, 14) are incorporated at a distance to one another, whose respective thread grooves (13, 14) have an identical pitch and are designed to be oppositely inclined to one another, - that into each of the thread grooves (13, 14) a driving pin (15, 16) is inserted that is drivingly connected with the respective thread groove (13, 14) in such a manner that by means of the rotation of the actuator element the drive pins (15, 16) are movable along the rotational axis of the actuator element, - that two of the drive segments (21, 22) are drivingly coupled with the actuator element via one of the respective drive pins (15, 16), - and that between the two drive segments (21, 22) connected with the actuator element and the drive segments (21, 22 or 23) arranged adjacent thereto, one respective pivot pin (17, 18) is provided for forming a rotary joint.