An important task of Ukrainian organizations in the context of the intensification of European integration processes is to ensure competence on the European market and the ability to compete with organizations of the European Union countries, which directs the efforts of managers to find ways to optimize management structures as part of a set of measures to increase the level of organizational competence. The purpose of the article was to justify the factors of external and internal influence that should be taken into account when building the management structure of the organization in the context of acquiring competence on the European market. To achieve the goal, the methods of content analysis, logical analysis and generalization, analysis of hierarchies, pairwise comparisons, dialectical and expert methods have been used. It is substantiated that in the conditions of Ukraine’s accession to the European economic space, it is important to shift the perspective of attention from external circumstances to internal organizational properties, to their competence, which is evidence of knowledge, experience, and skills to perform effective activities, a prerequisite for successful competition of organizations with European producers. The determination of the management structure of organizations as the basis of activity, the guarantee of adaptive properties, have allowed to consider it as a factor of organizational competence and effective functioning in the European environment. The dynamism of the requirements of the European market has been given the status of a priority task of analyzing the factors influencing the formation of the management structure of the organization as a prerequisite for ensuring its competence. An online survey of heads of Ukrainian organizations has made it possible to choose the most significant factors of influence based on the criteria of the strength of influence, cost and duration of prevention of a negative influence. The necessity of priority consideration of the selected factors during the construction of the management structure of the organization for its timely adjustment and improvement of adaptive properties has been proven. Formulated conclusions and recommendations will be useful to managers who strive to form a rational management structure in accordance with the goals and objectives of the organization, which will ensure the coordination of the efforts of employees, a quick reaction to the influence of internal and external factors, increasing the level of organizational competence