In today's health economics, resort and recreation is one of the most lucrative areas of the economy. Ukraine has a strong resort and recreational potential, the effective development of which can bring real economic benefits. This requires the formation of a systemic strategy for the development of such systems, an integral part of which are innovations. The purpose of the article is to analyze and develop methods for managing innovations in the health economy of Ukraine with its further development. The author's concept, which is based on the methods of economic dynamics, multicriteria optimization and optimal management, is used as a methodological approach. That is the first time the proposed concept has been used to analyze, forecast and formulate innovation policy and the development of innovation processes in the health economy. It allows to build predictive scenarios of innovation development with a high degree of accuracy compared to existing approaches, and is more adequate and universal in a pandemic. As a result of the research the concept of innovation development strategy as a certain period of cyclical dynamics was substantiated, and scenarios of influence, development and implementation of innovations were obtained. The proposed approach provides an opportunity to consider the development of the health economy and, in particular, resort and recreational systems as a process of transformational change of innovation strategies. On this basis, a model is built that allows for a scenario description of the transformation of innovative strategies of resort and recreational systems. The proposed model allows for choosing an innovation policy, i.e. at what point in time to begin the implementation of a new resort and recreational technology, which includes decisions on the feasibility of its implementation in general. The simulation results can be used to form a new modern strategy for the development of the health economy in Ukraine.