A multistage rolling mill (100, 100A, 100B, 100C, 100D, 100E, 100F) comprising: a pair of work rolls (2a, 2b) rolling a metal strip; a pair of intermediate rolls (3a, 3b) supporting the work rolls (2a, 2b); a pair of back-up rolls (5a, 5b) supporting the intermediate rolls (3a, 3b); and a first support roll group or support bearings (10a, 10b, 10c, 10d, 10e, 10f, 10g, 10h) arranged on an entry side and/or an exit side of the work rolls (2a, 2b), the first support roll group or the support bearings (10a, 10b, 10c, 10d, 10e, 10f, 10g, 10h) supporting the work rolls (2a, 2b) on a work side and a drive side, the intermediate rolls (3a, 3b) having tapered shaped roll shoulders (3c, 3d) in a direction of vertical point symmetry, and having shift devices (41a, 41b, 41c, 41d) shifting the intermediate rolls (3a, 3b) in a roll axis direction, the multistage rolling mill characterised by: a coolant spray header (19a, 19b) and/or a cobble guard (13a, 13b, 13c, 13d) disposed in a strip width direction central portion of the metal strip, and by being configured to change offset positions in a pass direction of at least either the work rolls (2a, 2b) or the intermediate rolls (3a, 3b) by moving in and out at least either the first support roll group or the support bearings (10a~h) or chocks (4a~f) of the intermediate rolls (3, 3b) to the entry side or the exit side with respect to the pass direction. a pair of work rolls (2a, 2b) rolling a metal strip; a pair of intermediate rolls (3a, 3b) supporting the work rolls (2a, 2b); a pair of back-up rolls (5a, 5b) supporting the intermediate rolls (3a, 3b); and a first support roll group or support bearings (10a, 10b, 10c, 10d, 10e, 10f, 10g, 10h) arranged on an entry side and/or an exit side of the work rolls (2a, 2b), the first support roll group or the support bearings (10a, 10b, 10c, 10d, 10e, 10f, 10g, 10h) supporting the work rolls (2a, 2b) on a work side and a drive side, the intermediate rolls (3a, 3b) having tapered shaped roll shoulders (3c, 3d) in a direction of vertical point symmetry, and having shift devices (41a, 41b, 41c, 41d) shifting the intermediate rolls (3a, 3b) in a roll axis direction, the multistage rolling mill characterised by: a coolant spray header (19a, 19b) and/or a cobble guard (13a, 13b, 13c, 13d) disposed in a strip width direction central portion of the metal strip, and by being configured to change offset positions in a pass direction of at least either the work rolls (2a, 2b) or the intermediate rolls (3a, 3b) by moving in and out at least either the first support roll group or the support bearings (10a~h) or chocks (4a~f) of the intermediate rolls (3, 3b) to the entry side or the exit side with respect to the pass direction. a coolant spray header (19a, 19b) and/or a cobble guard (13a, 13b, 13c, 13d) disposed in a strip width direction central portion of the metal strip, and by being configured to change offset positions in a pass direction of at least either the work rolls (2a, 2b) or the intermediate rolls (3a, 3b) by moving in and out at least either the first support roll group or the support bearings (10a~h) or chocks (4a~f) of the intermediate rolls (3, 3b) to the entry side or the exit side with respect to the pass direction.