A system for enabling synchronous sheet transfer to follow laser cutting dynamically, comprising: one or more processing stations; synchronous sheet transfer units (2, 2'), arranged respectively on a feeding side and a discharging side of the processing station; a laser-cutting unit, provided at the processing station, and comprising at least one laser cutter and a laser-cutting head on the at least one laser cutter; a transfer and stacking unit, comprising a stacking platform and a stacking robot, the stacking platform being provided on an outer side of a synchronous sheet transfer unit (2, 2') on the discharging side of the processing station; and further characterised by: the transfer units (2, 2') each using sets of magnetic belts (C11-C14; C21-C25), with each magnetic belt of the sets being able to be stretched and retracted, wherein the amount of stretching and retracting of the magnetic belts (C11-C14; C21-C25) are adjusted such that a slit cut during cutting is made, and wherein the gap between the magnetic belts (C11-C14; C21-C25) is being adjustable; a scrap conveyor belt device, arranged on one side of the processing station that is perpendicular to a feeding direction; a dust treating device and a real-time measurement device for the cutting of strip steel, which are provided at each processing station; a sheet position detecting device before stacking of the sheets, the device being arranged at a transfer station at the position of the set of magnetic belts (C11-C14; C21-C25) on the discharging side outside the processing station; and a cutting control system, which is respectively connected to the synchronous sheet transfer units (2, 2'), the laser-cutting unit, the transfer and stacking unit, the scrap conveyor belt device, the dust treating device, the real-time measurement device, and the sheet position detecting device, so that the units and devices communicate with each other to establish an associative operation control and the stretching and retraction of the magnetic belts (C11-C14; C21-C25) of the synchronous sheet transfer units follow the laser-cutting head. one or more processing stations; synchronous sheet transfer units (2, 2'), arranged respectively on a feeding side and a discharging side of the processing station; a laser-cutting unit, provided at the processing station, and comprising at least one laser cutter and a laser-cutting head on the at least one laser cutter; a transfer and stacking unit, comprising a stacking platform and a stacking robot, the stacking platform being provided on an outer side of a synchronous sheet transfer unit (2, 2') on the discharging side of the processing station; and further characterised by: the transfer units (2, 2') each using sets of magnetic belts (C11-C14; C21-C25), with each magnetic belt of the sets being able to be stretched and retracted, wherein the amount of stretching and retracting of the magnetic belts (C11-C14; C21-C25) are adjusted such that a slit cut during cutting is made, and wherein the gap between the magnetic belts (C11-C14; C21-C25) is being adjustable; a scrap conveyor belt device, arranged on one side of the processing station that is perpendicular to a feeding direction; a dust treating device and a real-time measurement device for the cutting of strip steel, which are provided at each processing station; a sheet position detecting device before stacking of the sheets, the device being arranged at a transfer station at the position of the set of magnetic belts (C11-C14; C21-C25) on the discharging side outside the processing station; and a cutting control system, which is respectively connected to the synchronous sheet transfer units (2, 2'), the laser-cutting unit, the transfer and stacking unit, the scrap conveyor belt device, the dust treating device, the real-time measurement device, and the sheet position detecting device, so that the units and devices communicate with each other to establish an associative operation control and the stretching and retraction of the magnetic belts (C11-C14; C21-C25) of the synchronous sheet transfer units follow the laser-cutting head. the transfer units (2, 2') each using sets of magnetic belts (C11-C14; C21-C25), with each magnetic belt of the sets being able to be stretched and retracted, wherein the amount of stretching and retracting of the magnetic belts (C11-C14; C21-C25) are adjusted such that a slit cut during cutting is made, and wherein the gap between the magnetic belts (C11-C14; C21-C25) is being adjustable; a scrap conveyor belt device, arranged on one side of the processing station that is perpendicular to a feeding direction; a dust treating device and a real-time measurement device for the cutting of strip steel, which are provided at each processing station; a sheet position detecting device before stacking of the sheets, the device being arranged at a transfer station at the position of the set of magnetic belts (C11-C14; C21-C25) on the discharging side outside the processing station; and a cutting control system, which is respectively connected to the synchronous sheet transfer units (2, 2'), the laser-cutting unit, the transfer and stacking unit, the scrap conveyor belt device, the dust treating device, the real-time measurement device, and the sheet position detecting device, so that the units and devices communicate with each other to establish an associative operation control and the stretching and retraction of the magnetic belts (C11-C14; C21-C25) of the synchronous sheet transfer units follow the laser-cutting head.