The article examines the main problems of the XXI century, the overcoming of which led to achieving the United Nations' Sustainable Development Goals adopted in 2015, replacing the Millennium Development Goals. The authors systematically consider the governance process in sustainable development, paying particular attention to the structural-functional and information-behavioral subsystems of governance. Also, special attention is paid to the development of information technology and civil society, as well as other changes that took place in the late XX – early XXI century. These changes have influenced the concepts of public administration, which are fundamental to achieving the SDGs. The article aims to determine the methodological approaches necessary for the functioning of the public administration system in the context of sustainable development. The main research method used was a bibliographic study, both descriptive and analytical. The analysis of scientific literature allowed the authors to conclude that the following modern concepts of public administration in the context of sustainable development can be implemented: "management of public values," "digital citizenship," "political networks," "smart (receptive/reflective) governance," results/goals-based management, FAST-concept, "Open Government," and "Activating State." The importance of involving people in addressing sustainable development issues related to significant social, economic, and environmental problems, policy-making, and public service delivery is hardly disputed today. As shown, modern concepts are aimed at enabling citizens to participate in such processes. These include access to and availability of information and the development of communication technologies, including social media. In the XXI century of Knowledge Societies, the most creative solutions will be created through open interaction and reliance on shared resources. The extraordinary events (the pandemic and the war in Ukraine) have significantly slowed down the process of achieving Sustainable Development Goals and, in some cases, made it impossible to achieve any results for some goals. As a result, a new model of public administration in the context of sustainable development will be required. The prospects for further research include defining a new concept of public administration and its provision, which will consider the advantages of modern concepts and ensure their synergistic effect so that the sustainable development agenda is adopted not only by the state but also by business and society.