A computer numerical control unit with learning ability solves the problem of automatic and intelligent generating of numerical control programs for computer numerical control machining centers for milling, drilling and similar operations. The key module of the computer numerical control unit is a neural network (NN) device that learns to generate the numerical control programs through an neural network teaching module. Upon completion of learning process the neural network device can generate automatically, without any intervention of the operator, merely on the basis of the CAD 2D, 2,5D or 3D part models, taken from a conventional CAD/CAM system, various new numerical control programs for different parts, which have not been in the machining process before. The computer numerical control control unit with learning ability is suitable especially for machining centers intended for milling, including face milling (rough), contour milling (rough), final milling following the contour and in Z-plane, final contour 3D milling, contour final milling, milling in Z-plane, final contour milling on the equidistant, and milling of pockets; drilling, including normal drilling, deep drilling, and center drilling; and reaming, sinking and threading.