The article is devoted to the substantiation of the prerequisites and priorities for the development of the methodology and improvement of the organizational and methodological provisions of the audit of business continuity in the context of the requirements of the International Auditing Standards (IAS), changes in domestic legislation regarding the publication of financial statements of business entities in the context of military operations in Ukraine. The purpose of the study is to substantiate the priorities of the methodology development and improvement of the organizational and methodological provisions of the audit of the continuity of the activities of enterprises in conditions of uncertainty. The object of the study is the audit of the continuity of the enterprises. The methods used in the research: scientific knowledge, the method of generalization, comparison, logical - meaningful, methods of induction and deduction, analysis. The hypothesis consists in the assumption of the need for the development of methodology and the development of recommendations for improving the organizational and methodological provisions of the audit of business continuity in the context of the requirements of the ISA, changes in domestic legislation regarding the publication of financial statements based on the assumption of business continuity in the conditions of military operations in Ukraine and ensuring the awareness of interested persons about the current state of the enterprise's performance and the potential of its continued viability. Presenting main material. The prerequisites, the problematic field of issues that affect the assumption of continuity and the priority directions of the audit of the continuity of the enterprises' activities are determined. The basic provisions for the development of the methodology of the audit of the continuity of the activities of enterprises have been developed, which provide for an interconnected and complex solution to the tasks of improving the organizational and methodological principles of the audit in the context of the requirements of the ISA and taking into account changes in the domestic legislation regarding the publication and audit of financial statements by economic entities in the conditions of military operations in Ukraine. The classification of factors influencing the assumption of continuity of activity and the procedures for their assessment by segments are provided. The need to assess the loss of economic benefits from risk situations and reserves for their coverage is substantiated using the example of accounts receivable. The sequence of the audit process is presented and the elements of the methodology, criteria and objects of the business continuity audit are disclosed. To ensure the quality of the audit, additional analytical procedures based on the use of the Balanced Scorecard (BSS) and the methodology of integrated analysis of continuity, which covers four blocks of indicators: financial status, efficiency, added value, and the Balanced Scorecard system, are proposed. The originality and practical significance are: the provisions on the development of the methodology of the audit of the continuity of the enterprises' activity on the modern paradigm of the requirements of the ISA and changes in the domestic legislation; methodological recommendations regarding the sequence of the audit process of business continuity; a method of comprehensive analysis of the continuity of activity, the implementation of which allows to assess the effectiveness of management and the potential for ensuring the continuous viability of the enterprise. Conclusions. The need for the development of the methodology for the audit of the continuity of activities of enterprises arises from the requirements of the IASB and ISA, changes in the domestic legislation regarding the publication of financial statements based on the assumption of the continuity of business entities in the conditions of military operations in Ukraine, and the need to assess the potential for ensuring the continuous viability of the enterprise and the effectiveness of management. The implementation of the developed provisions for the development of the methodology of the audit of business continuity on the new paradigm and recommendations for its organizational and methodological support will contribute to the improvement of the quality of the audit. The proposed analytical procedures for assessing the influence of non-financial factors on the creation of added value based on a system of balanced indicators provide an opportunity to determine the critical segments of the enterprise's activity in the directions of business processes and obtain sufficient and acceptable audit evidence to provide information about the continuous viability of the enterprise. The use of the methodology of complex analysis of continuity allows you to form qualitative information for the preparation of a conclusion about the current state of the enterprise's performance, management efficiency and continuous viability of the enterprise in conditions of uncertainty.