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The authors considered a methodology for the automated design of cylindrical broach structures consisting of the following stages: forming a 3D-parametric geometrical broach image, assessing a broach structure stress-strain state during operation. The paper presents the results of software implementation of the algorithm for forming a broach structure parametric model from 3D-geometrical prototypes in the system Solidworks. To assess a stress-strain state of tools with the numerical method of finite elements in Solidworks Simulation, the authors formed an analytical design model taking into account strain of geometric prototypes. A series of numerical experiments was aimed at researching a stress-strain state of broach teeth under cutting forces action. According to the results of numerical experiments, by means of the least square method the authors obtained analytical expressions to estimate the influence of geometrical and design parameters of the broach teeth structure on elastic displacements of cutting edges vertice and equivalent stresses of the most loaded teeth components. The authors developed recommendations on the change of the teeth section parameters allowing for the extension of the broach structure operation life and reducing the tool life consumption for the batch of parts.