This paper reports a new technology for designing control programs for contour milling on CNC machines. The technology enables stabilization of the cutting process along the entire contour at the optimal level by controlling the feed, which ensures an increase in productivity when meeting the requirements for restrictions. Moreover, the effectiveness of using the technology improves with an increase in the complexity of the contour by changing the curvature of the surface. A mathematical model has been built for the interaction between the cutter and workpiece in the cutting zone when machining contours with variable curvature, which makes it possible to determine the main characteristic of the cutting process - the rate of cutting the allowance. The technology involves the use of a control program in G-codes designed in any CAM system. At the first stage, a shape-formation trajectory in the form of a two-dimensional digital array is derived from the program. At the second stage, the cutter workpiece engagement in the cutting area is modeled simulated while determining the main characteristic of the cutting process - an analog of the material removal rate. And at the final stage, the simulation results are used to design a new control program, also in G-codes, with a new recorded law to control the feed, which enables the stabilization of the cutting process along the entire milling path. The software for the new technology has been developed, which automatically converts the preset control program in G-codes into a two-dimensional digital array, simulates the milling process, and designs a new control program in G-codes based on its results. The results of the experimental study into the milling of the preset contour using the developed simulation program showed an increase in productivity by 1,7 times compared to the original control program, designed in a conventional CAM system.