The article is devoted to the issue of financial risk management of industrial enterprises, which is relevant in the modern realities of the Ukrainian economy.  The Google Trends web application analyzes the popularity of search queries in business and industry for phrases such as "financial risk" and "financial risk management" in Ukraine and in the world as a whole over the past 12 months.  Based on official statistics, the analysis of the dynamics of the main financial indicators of industrial enterprises of Sumy region for 5 years, namely financial results before tax, financial results from operating activities and operating profitability. Based on the coefficient of variation, the level of financial risk that accompanies the activities of industrial enterprises of Sumy region is determined.  The essence of financial risks of an industrial enterprise is revealed and its constituent elements are presented.  The main existing approaches to the quantitative assessment of financial risks are presented, which are mainly based on probabilistic assessment. A methodical approach to financial risk management of industrial enterprises is proposed, which provides for constant monitoring of deviations of the integrated indicator, calculated on the basis of financial statements of the enterprise and includes indicators of liquidity, financial stability, profitability, cash flow from financial activities.  At the same time, the company is recommended to set clear boundaries of possible deviations of the integrated financial indicator.  Emphasis is also placed on the need to form and implement an integrated financial risk management system at industrial enterprises of Ukraine in the modern economic realities of Ukraine. A clear system of financial risk management will allow industrial enterprises to respond in a timely manner to potential threats, neutralize financial risks and avoid possible losses.