The changeable and unpredictable development of the enterprises’ external environment is one of the appearance causes of various types of business activities' risks, including logistics. The purpose of this article is to develop recommendations on improving the risk management of enterprises’ logistics activities in the context of instability. Achieving this goal requires consideration of the main stages of this process regarding the logistics activities' risks, providing advices on improving the process of risk management of logistics orientation. The article explores the process of analyzing the logistics activities' risks of the enterprise. Proceeding from the theoretical provisions of management and summarizing the practical experience of research in the field of systematic analysis of the enterprises' logistics activities risks, there are traced the organization's peculiarities of such analysis, and the main directions of its further improvement are proposed. All actions in the article, which are related to the analysis of the risk of enterprise logistics activity, are proposed to carry out in a certain sequence in the article. This sequence is given in the form of a structural scheme of systematic analysis of the risks of the enterprise logistics activities. Based on the objectivity of the existence of logistics activities' risks and the need to ensure the rational management of them, the algorithm of the risk management in the enterprise logistics system covers the stages of risks' identification, their qualitative and quantitative assessment, diagnostics, assessment of risk acceptability and application of neutralization measures to unacceptable logistical risks. It is concluded that the logistics activities risks combine different types of risks of all components and elements both in the process of changing material, financial and information flows, as well as in the process of managing the risks arising in the logistics system
