The article considers the features of innovative strategic management of enterprises during the pandemic COVID-19. The critical analysis of scientific works on the outlined problems is investigated and it is revealed not to open questions concerning a crisis situation of the enterprises which have been caused by quarantine. At the same time, the issues related to the features and specifics of the formation of innovative strategic management in times of crisis caused by the Covid-19 pandemic for the formation and selection of solutions in enterprises are studied at a low level. The concept of strategy and innovative strategic management and strategic planning is revealed. Peculiarities and principles of strategic planning that characterize the management structure and production and technical base of the enterprise are determined. The main stages of management processes of the enterprise on the basis of which the basic elements of the innovative vision of a problem of the enterprises were presented are investigated. It is innovative thinking and is a promising solution for the formation of strategic management during quarantine. Strategic management in the article is considered as a set of five interrelated management processes and related typical actions. The forms of strategy implementation and strategic control are determined. The model of innovative strategic management of the enterprise is developed. The basis of the offered model is the thorough analysis of activity of the enterprise, namely: potential of the enterprise in a cut of its components, the strategic analysis. It is mandatory to take into account environmental factors, the impact of which on the activities of the enterprise is variable and unstable. Recommendations for strategic management of enterprises during the crisis caused by Covid-19 have been formed. Namely, the two most expedient and possible for the implementation of innovative management strategies were noted: the strategy is related to the development of the transportation system; the strategy is aimed at developing the production and technical base and personnel.