A method of producing a medical cutting instrument. Medical cutting instrument is provided which stably exhibits high joint strength obtained by brazing. Cutting instrument is configured by providing a working section to a front end of a shank section. Working section consists of a carbide or a ceramic, shank section being constructed from round stainless steel bar or round tool steel bar. Shank section and working section are connected through a brazed section. Brazed section is portion at which shank section and working section are brazed together while brazing surfaces, which are provided with protrusion sections formed on shank section and/or working section, are caused to be in contact with each other. Protrusion sections each have sloped surfaces having an apex, and the height of the sloped surfaces is set in range of 0.5%-8%, inclusive, of the diameter of the brazing surface of the shank section.
