The growth of costs for innovation, as well as the growing role of public administration institutions, makes us take a fresh look at the cost management system. The article discusses the key point of the innovation cost management system at different levels of administration. Public administration institutions contribute to the implementation of innovation in the framework of both its own economic strategy and taking into account the strategy of higher governing bodies. The interaction and cooperation of various management structures within the framework of the implementation of a single innovative project can create an excessive expenditure of financial resources, which is why the issue of competent management of innovative costs becomes so significant. On a specific innovation project, possible problems in the interaction of various public administration institutions are considered, when planning and implementing a joint innovation project.