Abstract: Workpieces of the type of turbine blades are machined with a rotating mill while rotating a blank about its axis X with relative displacements of the blank and mill along the axes X, Y and Z. The mill is positioned relative to the workpiece in such a manner that its rotational axis forms, with a line normal to each profiled point of the workpiece, an angle which is substantially smaller than a right angle, whereby the mill shapes curvilinear surfaces of the workpiece with the end portion thereof. The method according to the invention permits machining of the working profile of a workpiece of the type of turbine blades, conjugation surfaces of the profile smoothly mating the working profile and the adjacent elements of the blade and these elements proper with one and the same mill with a single positioning of the blank. The tool may comprise mills adapted for operation with the end face thereof, in particular, plane end face mills.