The technique of optimization of hydrodynamic and thermophysical parameters of countercurrent heat exchanger is given in the article. The presented technique is based on the usage of computational fluid dynamics (CFD) application SolidWorks Flow Simulation with subsequent approximation of the obtained data by the criterion equation based on similarity theory and dimensional analysis. It is known that the course of processes occurring in the heat exchange equipment is influenced by a large number of parameters, in particular geometric sizes, thermophysical properties of heat carriers etc. Therefore, the optimization problem is multifactorial and in order to simplify the mathematical model, it was decided to use the methods of similarity and dimension theory. As an optimization criterion was chosen the efficiency of the heat exchanger that is an integrated characteristic of the optimal operation of heat exchangers. The proposed methods of parametric optimization of geometric and mode parameters of the shell-and-tube heat exchanger, although the proposed technique can be extended to other types of heat exchange equipment. The database containing information about all the parameters of the studied models allows for multifactor analysis in MathCAD 15 application in order to establish the unknown constants of the criterion equation. The obtained criterion equation allows to quickly find the appropriate modes of operation of the heat exchanger that satisfy the conditions of the objective function.