Abstract: The present invention relates to a process and to a device for the rolling of bands (B) with uneven thickness and/or length distribution over their width by using at least one control roller (5, 9, 21, 27, 41, 43) located on the inlet and/or outlet side of a mill (W, W', W") and capable of swiveling in its position relative to the band (B), making it possible in case of minor disturbances, independently of the existing operating conditions, to compensate for the running of a band caused by unevenness in the thickness and/or length distribution over the width of the band. This is achieved according to the invention in that the distribution of the tensile stress over the width of the band (B) is detected with at least one measuring device (7, 11, 25) and in that the control roller (5, 9, 21, 27, 41, 43) is adjusted in function of the detected distribution of tensile stress until the detected distribution of tensile stress is equal to a desired value.