With the fabrication of integrally bladed rotors or stators (blisks) for gas-turbine engines, where the space confined by the pressure and suction side as well as the annulus surface is shaped by cutting and machining from the solid material, starting at the periphery of a ring or disk, a stiffness-optimized pre-machining contour is cut out in a cutting process at a certain distance from the pressure and suction side along straight control surfaces at a cutting angle varying in correspondence with the blade twist and along a conical surface extending at a certain distance from the annulus surface as well as along transition surfaces between the conical and the control surfaces, and subsequently finish machined by finish milling to produce the final contour of the blade, annulus and transition surfaces. The method reduces tool wear and is cost-effective.