The invention relates to a method of producing disc-shaped or ring-shaped components subjected to flow. The components are produced by milling and finish machining downstream of the milling, the component being milled out of a workpiece, and a finish machining medium flowing through the component for the finish machining after the milling. The component is milled out of the workpiece in such a way that milling ridges which are produced run approximately perpendicularly to an aerodynamic direction of flow through the component during operation. The direction of flow of the finish machining medium through the component or the rotor disc therefore runs transversely, preferably perpendicularly, to the milling ridges appearing during the prior milling step.