Abstract: In a process for presetting the adjusting-member positions of a roll stand upon the rolling of a new coil or for the next pass in each case during cold rolling of bands, adjusting-member positions for the band flatness are used that are based on the corresponding actual data of the first pass of a reference coil, whose reference data results in the best correspondence with the target data of the new coil, or on the actual data of the preceding pass. At the same time, the band thickness can be preset by the specification of a rolling force or adjustment position adapted over a certain time period from the actual data of reference conditions of the roll stand or the rolling mill train.