The purpose of the paper is to analyze the positioning of Ukraine in the global indices of innovative development and competitiveness, to evaluate the indicators of innovation activity and, based on the outcomes of the research, to determine the place of Ukraine in the global innovation space. The dynamics of innovation activity on an international scale based on the consolidated indicators of the Global Innovation Index are presented. Ukraine’s position in it and progress in achieving goals to better understand the processes that stimulate or constrain innovation are determined. Econometric methods to generalize the positioning of Ukraine in the global innovation space and the DEA method to study the relative individual effectiveness of the innovation environment and innovation activities in Europe are used.