The present invention provides a method which enables a steel wire to be highly strengthened with maintaining good ductility. Specifically, the present invention provides a method comprising: subjecting a high carbon steel wire material having carbon content of 0.85 to 1.10 mass % to a pre-stage drawing process with a predetermined magnitude of drawing, to form an intermediate wire material; subjecting the intermediate wire material formed by the pre-stage drawing process to a patenting treatment in which tensile strength of the wire material is adjusted to a range of 1323 to 1666 MPa; then subjecting the patented steel wire material to a subsequent drawing process including the final drawing.