The article discusses the nature and types of propaganda of a destructive nature, the possibility of its criminalization in domestic legislation. In particular, the concepts of propaganda for war (other than national liberation), propaganda for racial, national, religious intolerance, propaganda for the use of harmful substances and substances for human health, and for suicide propaganda are defined. There is put up for discussion a comprehensive definition of propaganda of extremism, the components of which are public justification, mass dissemination of ideas of necessity, expediency of violent change of the foundations of the constitutional system and power in Ukraine, violation of its territorial integrity, armed conflict, war, mass riots as ways of resolving political, economic contradictions, ethnic and religious nature; mass dissemination of ideas of historical, cultural, mental incompatibility of the residence of certain ethnic groups (groups on linguistic, territorial grounds, ideological convictions) on the territory of Ukraine; public denial of a criminal nature, mass dissemination of information aimed at justifying terrorism, terrorist activity, Nazism, genocide, mass repression, persecution, extermination of people on grounds of social, racial, national, linguistic, political, religious or religious affiliation on the territory of Ukraine, dissenters; mass dissemination of conscious lies (by distorting data, fiction, tendentious suppression of data) in the political, socio-economic, religious and other spheres of society with the aim of encouraging, abetting and other types of inducing people to violent actions, other destructive behaviour, which may or has led to the violent overthrow of the constitutional order, the seizure of state power, the violation of the sovereignty and territorial integrity of the state, the escalation of tension the emergence of conflicts (including armed) between different segments of the population within the country, between states, between representatives of different races, nationalities, religious denominations, between carriers of certain ideological and political views, to harm, damage to the mental and physical health of people, to destruction moral foundations of society, to mass destruction, the destruction of cultural and historical values, etc. An attempt was made to systematize the signs of the presence of propaganda of a destructive nature in a text message. The criteria for the delimitation of propaganda of extremism, the propaganda of a destructive nature in general from similar content messages are defined. There are some examples of expert conclusions, which revealed such propaganda. Key words: propaganda, destructive nature, speech message, criteria for differentiation.