The problems of sustainable development are examined – as achievements of positive rates of the economy growing along with diminishing of pollution of environment. Connection between profits per capita and by pollutions of atmosphere is modelled. A form of connection between profits and pollution in accordance with the theory of economy of nature management is back U-similar, that is at first pollution grows together with growth of profits, but then under reaching the certain level of profits pollution must begin to fall. From point of economic science, economy growing, attended with diminishing of pressure on an environment, and will be that stage of passing to principles of sustainable development. Results of modeling are presented and terms which quality of air pool in Ukraine will become better are improved. 

Environmental Kuznets Curve, sustainable development, regional economic development, Pollution–Income Model