The modern development of high technologies and computer technology greatly enhanced the development of automated banking systems of banking sector organizations and allowed the synthesis of information and communication technologies for their formation. However, the era of high technology has increased the range of threats to banking information resources; threats have gained signs of hybridity and synergy. In these conditions, the current issue in shaping the information security management system in banking sector organizations is the formation and analysis of modern threats. In order to generalize the approach of classification of hybrid cyber threats to the components of security: information security, cybersecurity, security of information banking information resources in the work proposed an advanced classification of threats to banking information resources. The classifier takes into account ISO / OSI model levels in automated banking systems, the targeting of threats to security services and their criticality of damage. The article analyzes contemporary international standards and normative documents of the National Bank of Ukraine on security issues of banking information resources. On the basis of this analysis, we propose estimates of the level of danger to intruders and the degree of implementation of protective measures under the conditions of modern hybrid cyber threats.