Abstract: A process and arrangement for controlling a pipe-cutting device for cutting pipe formed on a continuously operating spiral winding machine which forms a pipe from a band of wound sheet material such as paper. The pipe-cutting device is adapted to move along the formed pipe at a speed corresponding to the feeding speed of the band which is being guidingly fed at a predetermined feed angle toward the pipe-forming spindle of the spiral winding machine. An arrangement is provided in a continuous spiral pipe-winding machine for controlling the movement of a cutting member.