The work presents the development of kinematic systems for feed movements of cross-cutting optimizing saws. For efficient machining on a cross-cut saw with high feed speed values in contemporary machine tools pendulum-type kinematic systems are presently used. The arm of the pendulum with a circular saw blade on the spindle moves on a curved trajectory. There are well-known solutions for the design of the feed movement with a pneumatic actuator, or more modern ones with a crank mechanism driven by a rotary servomotor, as well as an innovative solution with a tubular linear motor. An advantageous feature of a feed system with an electric linear servo motor of mandrel design is that the pendulum arm angular travel and the saw stroke can be programmed to achieve the shortest possible time for a single cutting cycle, with the stroke adapting to the cross-sectional dimensions of the material currently being cut. The both feeding systems with a crank mechanism driven by a rotary servomotor and with a tubular linear motor are much more rigid than pneumatic actuator solutions. The optimization process in which a rotary servo motor or a tubular linear motor is applied could be led with extremely fast saw strokes (maximum value of the feed speed reaches even 4 ms-1), therefore, some saw blades producers call this method cutting “a punching method”. There are no perfect solutions, therefore, the advantages and disadvantages of these applications will be discussed in a concise manner.