The article discusses the reason for the discrepancy in the rate of economic growth of European countries, which hinders the achievement of the EU's goals of achieving a sustainability strategy. The analysis of research in this area showed the presence of methodological problems of convergence management, which are due to the lack of confirmed data on the presence of a correlation between it and certain parameters of the functioning of the economies of the countries of the EU. In addition, the analysis of large-scale projects for the alignment of the economic development of European countries showed their insufficient efficiency, which is also associated with the shortcomings of the methodology. The article used statistical data on the most important indicators of the EU for 10 years, which confirmed the hypothesis of a number of scientists about the presence of stable patterns of economic dynamics in Europe. It justifies the use of cenological tools for evaluating the entire community in question, since it reflects the patterns of development of such systems in which the use of the concept of the mean is not acceptable as a reference criterion. The cenological assessment of the economic dynamics of the EU countries in terms of GDP confirmed the hypotheses expressed about the presence of stable patterns of the trajectory of movement along the surface of the statistical distribution. As a result of fine statistical estimation procedures, a clustering model for European countries was obtained in groups in which it is advisable to use cluster (group) value of convergence. The result obtained can be used in the formation of targets for programs of cross-country, regional, industry leveling, since it is based on the results of a systematic assessment of complex structure-cenosis systems.