A method to control the drawing of rolled stock in a segment of the rolling line includes measuring the section of the rolled stock passing through is made by a first detector located at the outlet of the semi-finishing block and by a second detector located at the inlet to the finishing block. The method also carries out at least a measurement of the section of the rolled stock with a third detector located at the outlet of the finishing block, the drawing action being controlled and regulated by a control unit by comparing the measurements of the section at the outlet of the semi-finishing block, at the inlet to the finishing block and at the outlet thereof with the corresponding values memorized in tables in the control unit. Any divergences included in an admissible correction range with respect to the expected values are corrected by the control unit acting in feedback on the drawing means of the rolled stock in the segment of the line so as to return the dimensional value of the section of the rolled stock to around the expected value.