The invention discloses a multi-wire cutting machine capable of realizing combined machining. The multi-wire cutting machine comprises a machine frame, a wire unwinding roller, a wire winding roller,a plurality of cutting rollers, cutting wires and a feeding device; the feeding device comprises a fixed platform, a first movable platform, a second movable platform, a first branched chain, a secondbranched chain, a third branched chain, a first driving device, a second driving device and a third driving device; the first branched chain, the second branched chain and the third branched chain are extendable in the axial directions of the first branched chain, the second branched chain and the third branched chain correspondingly, the first branched chain, the second branched chain and the third branched chain are all arranged between the first movable platform and the second movable platform, and the first branched chain and the second branched chain are arranged on the two sides of thethird branched chain; and the first driving device is used for driving the first branched chain to extend in the axial direction of the first branched chain, the second driving device is used for driving the second branched chain to extend in the axial direction of the second branched chain, and the third driving device is used for driving the second movable platform and the fixed platform to moverelative to each other in the horizontal direction. According to the multi-wire cutting machine, planar thin-sheet-shaped parts can be machined, and curved-surface thin-sheet-shaped parts can also bemachined; and meanwhile, the cutting efficiency and the cutting stability of the multi-wire cutting machine are high, and the wire breakage rate is low.