The utility model relates to the technical field of clamps, in particular to a wire cutting clamp, comprising a sleeve and a chuck, wherein the chuck is arranged in the sleeve; the head of the chuck is conical; the external diameter of the head of the chuck decreases progressively towards the tail part; and the sleeve is provided with a tapered hole which is matched with the chuck. The chuck is adjusted on the sleeve in a rotary way to correct the clamp to find out the center; then a workpiece is directly clamped by the chuck, so that the workpiece, the inner hole and the external diameter of which are concentric, can be processed. Therefore, the workpiece with high precision can be processed by the wire cutting clamp in a labor-saving and time-saving way; and the production efficiency is high.