The invention discloses a wire-drawing machine with a wire cutting function, and relates to the field of plastic processing. The wire-drawing machine with the wire cutting function comprises a rack, rollers, transmission shafts and a driving motor, wherein the rollers are distributed on the rack; each roller comprises a cutter, a sleeve and the corresponding transmission shaft; a plurality of through holes are formed in each sleeve; each transmission shaft is arranged in the corresponding sleeve; two ends of each transmission shaft are cylindrical and are cylindrical ends; the cylindrical endsof the transmission shafts are in clamped connection to the sleeves; a plurality of arc-shaped projections which correspond to the through holes are arranged on each transmission shaft; a chute is formed in each arc-shaped projection; each cutter is hinged to the inside of the corresponding chute and can slide in the corresponding through hole; and the motor is connected with the transmission shafts through a conveying chain. The transmission shafts drive the sleeves to rotate by force of friction, after the rollers are wound with wires, the transmission shafts slip and then rotate relative to the sleeves, the cutters are driven to extend out of the rollers, the plastic wires are cut, and thus, the problem that the wires are wound on the rollers is solved. Meanwhile, overload damage of the driving motor is also avoided.