Abstract: A method of machining a tube having a helical weld seam including internal and external weld beads in which the internal and external weld seam beads of the tube are simultaneously reduced by machining and a machine for carrying out said method comprising a machine bed, at least one tube bearing means mounted on the machine bed and for supporting the tube, and power-driven tools mounted so that, in use, one tool is located within the tube and one tool located outside the tube, and adapted to be displaceable in dependence upon the helical weld seam in the longitudinal extension of the tube and following the weld seam; said tools in use thereby opposing each other on the sides of the wall of the tube.