The basic requirements for feed drives of turning machines with digital program control are formulated in this paper. The offered methodology for selection of such drives takes into account the specific features of the technological process, the processed material, the tools used, as well as the mechanical gear type. Concrete examples with DC and AC motor drives are presented, illustrating the practical application of this methodology. A number of models for computer simulation of two-coordinate electric drive systems have been developed, allowing study at various reference speeds, positions, and loads applied to the motor shafts. Detailed testing has been carried out by means of computer simulation and experimental research. The results obtained can be used in the design and tuning of such types of two-coordinate drive systems with position control.