Abstract: The arrangement comprises a body constructed in the form of a grip clamp arable from the vertical axis of a workpiece, and having two jaws coupled with each other in the upper portion thereof by a clamping cylinder. The arrangement further comprises cutters for deburring, and a mechanism for pressing said cutters to the workpiece surface. The cutters are mounted in the lower portion of the jaws so that cutting edges thereof form a profile of the workpiece cross-section. The cuttes disposed on the same jaw are pivotally connected with each other. The mechanism for pressing the cutters is constructed in the form of a system of hydraulic cylinders mounted on the jaws in symmetrical relationship relative to the vertical axis of the body. Said hydraulic cylinders are provided with rods operatively connected to corresponding cutters.