<p>Manufacturers show great interest in all technological processes and methods that provide high productivity. The analytical method of modelling the productivity rate of the broaching operation was problematic because of the multi-cutting processes. The broaching operation is highly productive and implemented by one expensive multi-cutter tool. The specificity of the broach designs and processes is well-described in publications. The broaching process is fulfilled by the axial motion of the group of cutters with simultaneous action. The cutters of the broach are involved serially with the interrupted cutting process of the blank. The known model for the productivity rate of the broaching machine tool does not consider the reliability indices of the broach and machine tool units from the change in machining regimes. The proposed mathematical model comprises the broaching operation’s main factors that influence the machine tool’s productivity rate. This model enables the definition of the maximal productivity of the machine tool and the broaching process’ optimal cutting speed, which is an important economic index for manufacturers. The research paper considers the derivation of the mathematical model for the broaching process, which shows a higher productivity rate with the magnitude of the cutting speed that is less than the handbooks prescribe.</p>