Abstract: A method and an arrangement for cutting cold pilgered tubes during rolling on a cold pilger rolling mill with reciprocating rolling stand and with intermittent advance and/or intermittent rotation of the tube in the area of one of the two dead centers of the rolling stand. The method includes imparting on the tube along a distance range thereof behind the rolling zone a constant rotation corresponding to the average speed of rotation of the tube such that the tube is temporarily elastically twisted. The distance range is selected in accordance with parameters determined by the material and dimensions of the tube. The tube is cut within the distance range during the constant rotation. The arrangement for carrying out the method includes a cutting unit with a cutting tool and a clamping sleeve which clamps the tube circumference and is constantly driven for rotation. The cutting unit is arranged at a distance from the rolling stand which facilitates elastic torsion of the tube.