When milling the profile of the flow path of the vanes of a gas turbine engine on multi-axis machines, a technological scheme of transverse line shaping is used, according to which the vane is rotated around its own axis and processed with a tool with a spherical working surface that performs rotation and interpolated axial movement. The required indicators of the surface quality of the vane airfoil profile (profile accuracy and surface roughness) are provided by assigning a combination of controlled parameters of the milling mode. However, at present there are no recommendations on the calculation and assignment of a combi-nation of controlled parameters for the milling of complex-profile surfaces, which is the profile of the flow path of the gas turbine engine compressor vanes. The accuracy of the profile of the vane feather for each line and the angle of its rotation will be deter-mined by the value of the vane deformations, which should not exceed the tolerance for its manufacture. From the analysis of ge-ometric relationships in the contact zone of the mill with a spherical working surface and a curved profile of the flow path of the vane, dependencies were established for calculating the component of the milling force and its projection on the Y axis, as well as the effective diameter of the mill necessary to calculate the total deformation of the vane. The methodology is described and analyt-ical expressions are obtained for calculating and assigning a combination of controlled parameters of the milling mode that provide the required accuracy of the vane airfoil profile when developing a control program and milling a vane on a Computer Numerical Control machines.