In the publication, the author builds an economic-mathematical simulation model of management of competitiveness of industrial complexes of regions. Comparison of two reliable regression models of Slobozhanshchina has showed that, with consideration of the balance indicators, all variables provide a commensurate positive contribution to the resulting indicator; otherwise, only capital investments have a positive effect on the final result, and the innovation activity of industrial enterprises and financial results before taxation can be considered extremely unsatisfactory. The functional relationship between the volume of sold products, goods and services and the financial results before taxation is clarified. It is concluded that the more is the functional dependence between the volume of realized industrial products and the financial results before taxation, the better are the results of economic activity of the regional industrial complex. Therefore, when building a strategy of management of competitiveness of the industrial complex of region, one should consider these levers of influence.