When we produce multi-wound stainless steel pipe, plastic-deform a hoop material made of a stainless steel sheet applied with a Cu-brazing material on the surface to a multi-wound pipe. After the brazing material melts between the walls of the multi-wound pipe, we should cool the molten brazing material, wherein the Cu-brazing material between the walls and the Cu-brazing material at the inside and outside surface of the pipe are diffused into the base material at a depth of 0.5 um to 15 um. This multi-wound stainless steel pipe is excellent in the pressure of resisting strength and working strength. Besides, it has a high quality.