Abstract The article observes the regression model of waviness of the treated profile surface resulting from the planning and implementation of multidimensional experiment. The analytical dependences linking waviness of the treated surface with elements of the profile milling mode and design parameters of the shaping cutting tool were determined. Based on multidimensional model managing of the profile milling process in order to achieve the desired waviness of the treated surfaces at the highest possible performance of technological operations is performed. It was found that the dominant factors of the process of the profile milling with shaping cutter are the feed, the rate speed, the number of teeth of the cutting tool and the cutting depth. As a result of statistical processing of the experimental data was obtained the multidimensional models, the 3D XYZ surface graphics, 2D contour graphics.