Gripping device having slides (100, 101) bearing movable gripping elements (1, 2), wherein the slides (100, 101) are guided in a row, as seen in the gripping direction of the gripping elements (1, 2), in a guide groove parallel to the gripping direction - between an opening position and a closing position - which guide groove is arranged in a main body and is at least partially open to the gripping elements (1, 2), in such a manner that the slides (100, 101) can be driven via an actuator and are supported on all sides transversely to the gripping direction, - wherein a double sliding wedge member coupling the slides (100, 101) is arranged between said slides, which double sliding wedge member is articulated at a movable part of the actuator such that the double sliding wedge member is movable perpendicular to the gripping direction, - wherein the slides (100, 101) have respective T-slots in their front surfaces facing each other, each of which T-slots engages with a T-nut (61, 62) protruding from the double sliding wedge member, - wherein the T-nuts (61, 62) are moulded onto or arranged on a central base body of the double slide wedge member via respective nut holding bars (91, 92), - wherein the guide longitudinal directions of the T-slots enclose an angle of 45 to 122 angular degrees, characterized in - that each individual T-nut (61, 62) has one outer flank and two inner flanks, - that each flank (63, 64) is divided into a high-load edge zone, a high-load zone, a flat central zone, a low-load zone and a low-load edge zone, - that the zones, other than the central zone, are curved spatial surfaces, the curvature of which is located only in one vertical centre longitudinal plane and - that the high-load zone curvature is at least five times greater than the low-load zone curvature. - which guide groove is arranged in a main body and is at least partially open to the gripping elements (1, 2), in such a manner that the slides (100, 101) can be driven via an actuator and are supported on all sides transversely to the gripping direction, - wherein a double sliding wedge member coupling the slides (100, 101) is arranged between said slides, which double sliding wedge member is articulated at a movable part of the actuator such that the double sliding wedge member is movable perpendicular to the gripping direction, - wherein the slides (100, 101) have respective T-slots in their front surfaces facing each other, each of which T-slots engages with a T-nut (61, 62) protruding from the double sliding wedge member, - wherein the T-nuts (61, 62) are moulded onto or arranged on a central base body of the double slide wedge member via respective nut holding bars (91, 92), - wherein the guide longitudinal directions of the T-slots enclose an angle of 45 to 122 angular degrees, - that each individual T-nut (61, 62) has one outer flank and two inner flanks, - that each flank (63, 64) is divided into a high-load edge zone, a high-load zone, a flat central zone, a low-load zone and a low-load edge zone, - that the zones, other than the central zone, are curved spatial surfaces, the curvature of which is located only in one vertical centre longitudinal plane and - that the high-load zone curvature is at least five times greater than the low-load zone curvature.