<p>Industries are particularly interested in technological processes and methods that enhance productivity. The manufacturing sector widely uses the rotor-type machine tool for machining mass-production parts that provide high productivity. The tendency to apply multi-cutting tools for machining products presents an interest in the design of the multi-spindle machine tool with broaching processes, because it can increase their output. The broaching process is a highly productive operation that utilizes a single, costly multi-cutter tool that can be designed for integration into rotary machines. The specific process of broaching operation can be implemented by a group of standard cutters arranged as the over-tuning broach of circular design on the bed of the multi-spindle machine tool. The rough calculation shows the rotor machine tool with a circular broach is about two times more productive than the six-spindle turning machine tool. Integrating two economically profitable approaches as a broaching process at the rotor-type machine tool presents an interesting engineering solution that raises several problems. First of all, the broaching process of the multi-spindle machine tool should be described by a mathematical model for the productivity to evaluate the economic efficiency of such a design. The following problems relate to the definition of optimal machining regimes by the criterion of maximal output. The complex multi-parametric machining system of high output should be calculated in detail because economically important for manufacturers. The research paper provides a mathematical model to optimize the cutting speed of a rotor-type turning machine tool using a circular broach, focusing on maximizing productivity.</p>