Abstract: For the purpose of improving the economics of flame cutting and the qualiive characteristics of flame-cut components, and with the object of developing a method of flame cutting, particularly precision flame cutting, wherein the interaction between the cutting oxygen and the molten metal flow is qualitatively varied in such a way that the speed-inhibiting effect of the contamination boundary layer is considerably reduced and the cutting speed increased whilst maintaining the cutting quality, the invention proposes the adoption of certain defined operating parameters of a cutting torch with a conically expanded cutting nozzle of circular cross-section and ranges of oxygen pressures, appropriate to different thicknesses of the cut.