In the conditions of the transition to higher technological systems in the conditions of the implementation of the Sustainable Development Goals, the companies of the world face the question of effective management of green innovative development in their economic activities. The goal of the research is the formation of effective organizational and economic support for green innovations of companies of countries with different levels of technological development of production. This research contains: to describe the known positions of scientific schools regarding the managerial aspects of green innovations of companies of the world; to form the economic support of this administration, by developing an assessment of the potential of green innovations of companies of the world (the data of the Global Innovation Index Report were taken as a source of empirical data), to form criterion values of the potential of green innovations of companies of the countries for the purpose of their clustering. The research methods used include: system method; bibliometric analysis; method of assessing competitiveness; criterion method; method of generalization. The objects of evaluation include companies from five countries of Central and Eastern Europe. The main results of the study include: development of management theory; forming an assessment of the green innovation potential of companies from countries of the world with different levels of technological development of production (the data of the Global Innovation Index Report were taken as a source of empirical data); formation of criterion support for the results of evaluation of the green innovation potential of the countries’ companies. The conclusions of the study should include establishing the actualization of managing green innovations by companies of the world by involving the results of the assessment of the green innovation potential of companies of the world to the formation of the criterion values of this assessment in order to make effective management decisions on the part of all interested stakeholders. For further scientific research, to focus on the formation of effective communication links between different groups of stakeholders, the basis of this scientific direction is the criteria developed by the authors to ensure the level of green innovation potential of companies of countries in order to make effective decisions on the part of stakeholders (state bodies, investors, manufacturers, suppliers, clients, financial institutions) regarding organizational, social, economic support of green innovations of companies of countries with different levels of technological development of production. This study can be useful for the governments of countries in the development of international and national programs for the innovative development of the economy in terms of the implementation of the Sustainable Development Goals; to company managers when forming strategic and tactical plans for green innovative business development; to students and scientists in the implementation of scientific and educational programs.