Foreign direct investment plays an important role in the global economy. There is a huge competition among countries for their attraction, since they have a positive impact on the economy of the country that receives the investment. In addition to direct effects -an increase in GDP, budget revenues, and the decrease in unemployment -foreign direct investment also indirectly has a positive impact on the host country in the form of new knowledge, transfer of experience, dissemination of technology. This study is aimed at identifying and assessing the factors (determinants) that affect the inflow of foreign direct investment into the regions of Ukraine. The paper proposes the use of modern tools for monitoring macroeconomic indicators and the study of their non-stationary dynamics in the context of the implementation of investment policy based on the tools of phase and co integration analysis, which makes it possible to obtain a comprehensive assessment and analyze the stability of the macroeconomic dynamics of Ukraine in the context of increasing globalization transformations in the dynamics of territorial development, ongoing in the conditions of global crisis processes. The paper examined the factors that have a significant impact on the volume of foreign direct investment. To verify the hypotheses, an economic-mathematical model with fixed effects is proposed. In this paper, the author proposes an analysis of models of interaction between macroeconomic indicators. The phase trajectories of modeling allow us to conclude that at this stage of the development of the Ukrainian economy, there is a non-stationary and unstable dynamics, the trajectories are oscillatory-periodic or periodic, therefore, insufficient stability of the system can lead to catastrophic consequences. The results which are obtained in the course of econometric modeling will be useful for representatives of public authorities, as they can be used to develop strategies aimed at attracting foreign direct investment in the regional economy.