The invention relates to a system and a method for continuous electrolysis processing of microgroove groups of a flexible metal sheet, and belongs to the technical field of electrolysis processing. The system comprises a flexible metal sheet workpiece conveying system, an electrolysis processing tool electrode system, a processing power source, an electrolyte circulating system, and an electrolysis processing machine tool. The method comprises the following steps of during processing, firstly, clamping the flexible metal sheet, enabling the flexible metal sheet to penetrate between a plurality of support rollers and an arc-shaped masking plate, and enabling the inner and outer surfaces to tightly attach with the corresponding support rollers and the arc-shaped masking plate; according to the structure and size of each microgroove group, selecting a tool electrode, and completing the clamping; flushing electrolyte, feeding each tool electrode along the radial direction of the corresponding support roller, and processing a groove structure in the surface of the flexile metal sheet; processing to the specified depth, enabling a driving wheel to continuously rotate, and driving the flexible metal sheet to slowly slide along the tangential direction of each roller, so as to complete the continuous processing of the microgroove groups of the flexible metal sheet. The system and the method have the advantages that the tool electrodes can be synchronously performed with auxiliary movement, and the updating of electrolyte and the discharging of electrolysis products are promoted.