Under the modern conditions the risks analysis and management at enterprises are of great importance for taking and implementing management decisions. Today it is possible to say that this area in the management science has been formed and is successfully being developed both in theoretic and applied aspects. Nevertheless, under the modern economic conditions it has not only lost but even strengthened its urgency. This article is devoted to issues related to the efficiency of risk management under the modern conditions, and methods of increasing its efficiency. The authors position a system of risks management in the matrix form as a principle model of risk management at the enterprise. They single out various “risk zones” according to the degree of their acceptability for the enterprise. Herewith, the task of management is to lead the enterprise from the unacceptable risk zone to the zone of the low and most acceptable risk with the minimum losses. © 2017, ASERS Publishing House. All rights reserved.