The paper pays special attention to the issue ensuring the stability of Ukraine's cybersecurity system in today's conditions. A number of tested effective methods of foreign countries, which are used during illegal actions in cyberspace, are considered. It is determined that in modern conditions of cybersecurity of Ukraine, stability as a sociocultural phenomenon, turns into a complex multidimensional concept, which as a fundamental principle determines the crucial role of the security facilities themselves, which at the same time become key actors in cybersecurity. At the same time, cybersecurity does not primarily depend on the nature or level of cyber threat, but on the ability of cybersecurity actors to resist them, the vulnerability and ability of the national cybersecurity system in the context of cyberattacks, cybercrimes, etc. It is concluded that ensuring the stability of the state should be addressed by addressing strategic and critical issues of cybersecurity, critical infrastructure, strengthening the resilience of society as a whole, as well as monitoring the vulnerability of the national cybersecurity system.