The article deals with modeling the quality parameters of holes while drilling carbon fiber-reinforced polymer parts. It is noted that the mechanical processing of polymer composite materials is the most challenging operation due to the anisotropic properties of the material, the heterogeneous structure, and the abrasive nature of the fibers. It was established that the determining factors of the quality of the surface layer of the composite are delamination and roughness of the treated surface, for the determination of which mathematical dependences on drilling modes and drill parameters were researched in the work. A mathematical model of the drilling process of parts from carbon fiber-reinforced polymer is provided. The optimality criterion is the maximum productivity of processing holes with restrictions on their quality parameters. The proposed model allows you to determine the optimal drilling modes for the given parameters of the processed material and processing conditions. The practical implementation of solving the problem of optimizing carbon fiber reinforced polymer drilling modes, which ensures obtaining the necessary quality parameters – hole delamination and surface roughness, has been carried out.