Modern production classifies conventional methods of mechanical processing of titanium parts as unproductive and economically unprofitable. New methods of machining are provided by changing the very nature of the mechanical action on the cut layer of the workpiece. This includes the use of chemical, electrical and thermal types of exposure. Combined manufacturing methods are also used, consisting in a combination of mechanical and physical effects. The main direction of new processing methods is associated with a decrease in the vibration activity of the technological system, leading to an increase in the quality and accuracy of the surface being machined, as well as to an increase in tool life. This is especially important in the machining of hard-to-machine metals based on titanium, since the manufacturing process is associated with the occurrence of unstable self-oscillations when crossing a previously prepared zone of local plastic deformation. In this regard, this work is devoted to the choice of the interaction of deforming tools with the machined surface of a workpiece made of titanium alloys and the combination of regime parameters in the direction of supply and application of forces to the depth of plastic deformation.