FIELD: rolled stock production. SUBSTANCE: method for rolling hot-rolled band is realized in rolling line including at least two rolling stands with horizontally changed upper and lower rolling rolls operating as themselves (duo stand). Each roll may rest directly or through intermediate roll upon backup roll. Process may be realized in reversing rolling stand for rolling hot strip at least by two passes for changing its state. Method allows to achieve optimal plane-parallellism of hot and, preferably of cold band. At least in one band target out-of-plane-parallellism along width of band is set in one zone of band in order to determine practically achieved degree of out-of-plane-parallelism and to compare it with preset degree of that parameter. Then difference is calculated and by means of working setting organs, for example mechanical organs or other, said difference is minimized. Apparatus for performing the method includes at least two or several setting working organs, namely: rolling rolls that may be moved in axial direction; or units for bending rolling rolls; unit for crossing in pairs rolling rolls and backup rolls; units for zonal cooling of rolling rolls; screening covers in lengthwise zones of rolling rolls; units for heating edges of band in front of line for finish rolling, inside it or after such line, for example in zone of exit roller table; units for cooling edges of band in front of line for finish rolling, inside it or after such line; unit for lubricating edges of band inside finish rolling line. EFFECT: enhanced degree of plane-parallellism of band, particularly at extremal condition of edge rolling. 20 cl, 13 dwg
