The invention belongs to the metal pipe processing field, in particular to a device which removes the burrs on the end surface and the external edge of a metal round pipe. The device is provided with a grinding head rotator at the output end of a rotary power shaft; the rotator is provided with symmetric blades which are parallel to the axis line of the pipe and tightly attached to the external wall of the pipe; meanwhile, the rotator is provided with symmetric radial blades which are vertical to the axis line of the pipe. The invention can remove the metal burrs in the external diameter direction and in the axial external side direction of the pipe respectively; in the deburring process, the pipe where the burrs are removed keeps statical, and the burrs are removed by the rotation of the grinding head; the invention has the advantages of good deburring effect, no chamfering at the end of the pipe, convenient operation and high production efficiency.