The invention relates to a system for cold roll forming profiles having variable cross-sections, with several roll stands arranged in a row, each containing a pair of rollers, between which a sheet-metal strip (2) is guided along its length (X), wherein the roll stands are moved translationally transversely to the length of the sheet-metal strip and rotationally about an axis of the roll stand during cold roll forming. According to the invention, a re-forming device (8, 10, 12) is arranged behind at least one of the roll stands and has at least one drive for generating a movement of the re-forming device in a plane transversely to the length (X) of the sheet-metal strip. On the basis of data calculated from data relating to the material and thickness of the sheet-metal strip, the configuration and control data of the roll stands and the CAD data of the profiles to be shaped, the drive is controlled in such a way that, during ongoing operation of the system, the re-forming device automatically cancels any shape deviations in the sheet-metal strip leaving the at least one roll stand.