In a wedge drive (1) with a first part (20) which can be provided with a machining tool and a second part (30), wherein the two parts (20, 30) are arranged movably relative to each other, and there is provided at least one positive-action return device which engages or can engage both parts (20, 30), and a third part (10) which is connected to the first part (20), the at least one positive-action return device is return spring-free and has at least one device for causing and/or supporting the return of the one part (20) and/or for increasing the retraction force which can be applied in the return of the one part (20) in the upward stroke movement of the third part (10).