It is substantiated that the basis for effective functioning of banking institutions in the conditions of uncertainty is the identification and management of risks inherent in banking activities. In view of this, the purpose of the article is to substantiate the nature, determinants and varieties of moral risks, determine their place in the system of risks of banking activities and develop proposals to improve the effectiveness of moral risks management in the context of economic uncertainty's. The article determines that among the whole set of banking risks, moral risks are inherent in not only one, but almost all types of banking activity. Therefore, the emphasis is placed on the consideration of moral risks as a component of such systemic risks of banking activities as credit, market, operational and technological, currency risks and risk of change in interest rate. The necessity of considering the moral risks in the two-level plane, at themacro- and micro-levels is argued. It has been determined that one of the ways thus to neutralize moral risks, is to have a system of guaranteeing of banking deposits. It is substantiated that the detection of tendencies unwanted development of events with the purpose of subsequent neutralization of the negative consequences that can lead to one or another risk is carried out through an organized system of management of risk of the functioning of the bank. It is determined that the system of management of risks of the bank should be consistent with the risk classification, which is mandatory to separate into a separate group of moral risks, which will allow banks to have clear and transparent guidelines for building a system of management of risks in banks. Considering the specific nature of moral risks and the considerable level of their unpredictability, are proposed to create in the banks a separate department or position whose functional area of activity will be the identification, assessment and general management of moral risks, as well as to specify the tasks and methodological support of this department (position) in management of the moral risks of bank.