Terrorism of suicide bombers is a special tactical form of modern terrorism. By “suicide terrorism” should be understood the suicide terrorist acts carried out by suicide bombers. In February 2000, in Israel, at the First International Conference on the problem of suicide bombers, the following definition of suicide terrorism was given: "Suicide terrorism is a politically motivated use of force by an individual (individuals) who actively and purposefully destroys himself along with the selected objects. The unavoidable death of the performer of such an act is the key to the success and achievement of the effectiveness of such a terrorist action" [2]. Russian researchers V. Sosnin and T. Nestik define terrorism with usage of suicide as causing maximum damage to the civilian population with the purpose to intimidate, Terrorist actions with the use of suicide bombers in most cases lead to significant victims, since the performer of the action himself chooses the most suitable place and time for detonation of the explosive device that is under him, taking into account the evolving situation, the location of objects, the number of potential victims, the minimum distance to the object of attack [2]. Suicide terrorism carries with it several benefits for those sending the bombers on their way. Not only is it relatively cheap, but the groups that launch such attacks do not have to worry usually about developing escape plans for those carrying out the operations. Unlike more conventional terrorist attacks, leaving a bomb at a particular location for example, suicide bombers may move from place to place until they reach the most advantageous spot to detonate themselves. Further, if the suicide attack succeeds, the groups involved do not have to worry about the terrorist turning into an informant and providing the authorities with information about the whereabouts of its various members [1]. Previously, it was believed that the bombers are mostly representatives of the poorest sections of society, deprived of education and unemployed. However, as it is shown in the analysis of the document “The Holy Martyr Athenodorus”, posted on one of the Islamist Internet forums and including 430 biographies of suicide bombers of al-Qaeda, among them there are many highly educated people, who had a well-paid job. Finally, a recent study of suicide attacks showed that their only common feature is the absence of strong social ties and susceptibility to outside influence. Neither the demographic characteristics nor the socio-economic factors or individual psychological characteristics are a reliable predictor of the propensity to commit a suicide terrorist attack [4]. According to the data given by Russian researcher S. Chudinov in his monograph “Suicide Terrorism. Problems of Scientific and Philosophical Understanding (on the basis of radical Islam)”, the first “actions of self-sacrifice” (prepared by non-state actors) were carried out by radical Shiite parties Hezbollah and Amal Movement in the early 1980s to oust American and French military forces from Lebanon and end the Israel occupation of the south. Since then the suicide terrorism has affected at least 29 countries on five continentsaccompanied by the doer’s conscious rejection of the will to live [4]. A suicide terrorist is formed by special psychological mechanisms of aggression, so his/her actions and motives are the most difficult to understand. On the psychology of suicide bombers Yuri Antonyan writes: “The terrorists who see in the death, their own or someone else’s, the only way to solve their problems, of course, have no fear of possible death, so that the preventive effect of criminal punishment inevitability for such people is almost negligible. They are not afraid of death, but the prospect of long-term, even life imprisonment is not usually taken into account by them, they just do not think about it. Only after sentencing these people they are beginning to realize that they will have a lifetime or a substantial part of it to spend in prison. Their suffering, associated with punishment, starts from this moment”. In addition, the actions of suicide bombers are often managed by other persons, who carry out the set criminal goals and keep their own lives. The attack of the suicide terrorist is the most lethal type of terrorism, and what is important is that it is very difficult to foresee. Behind these suicide attacks there are years of training in extremist religious organizations, impact of the ideologies they have developed and also the technology of influencing people’s minds.and has been adopted by more than 30 terrorist groups and network organizations operating in a variety of cultural and geographical regions of the globe [5]. It is difficult not to agree with the American researcher Rex A. Hudson, that deliberate self-destruction, when the terrorist’s death is necessary in order to detonate a bomb or avoid capture, is not a common feature of terrorism in most countries, although it happens occasionally with Islamic fundamentalist terrorists in the Middle East and Tamil terrorists in Sri Lanka and southern India, and - we may continue his thoughts - nowadays in Europe by IS (Daesh) terrorists. Islamic terrorists believe that their actions do not only save their own souls (a heroic deed in the name of Allah), but also help the souls of their victims to go to paradise as quickly as possible. Thus, a special memo to the members of the movement “Hamas” says: “Allah will forgive you if you fulfill your duty and kill the unbelievers; God in heaven takes care of all your problems”. Particularly, this is how some Islamic theologians explained the essence of the skyscrapers explosions in New York City that resulted in thousands of victims. In Islamic countries the families of killed suicide bombers receive financial support from both terrorist organizations and from sympathetic people. Terrorist groups cultivate various rites of transition of their members in the number of suicide bombers and support the heroic myths of self-sacrifice. Increasingly, last time we have seen more women being used for suicide missions. This, according to experts, shows that terrorist networks competently handle suicidal individuals. Women are easier to prepare for the role of suicide: they are more manageable than men and are subjects to effective psychological influence; they attract less attention of the security personnel, it is easier to hide an explosive device on their body and without any obstacles to reach the goal. Women, because of their inherent features of neural activity (higher mobility, emotion, anxiety, and so on) become aggressive faster than men. Psychologists and psychiatrists have come to the conclusion that certain genetic characteristics are the reason why that female aggression, as well as female alcoholism, is difficult to be transformed or treated [3]. For an adequate response to the challenge of our time in the form of suicide terrorists, democracies need some agreed upon and coordinated actions in the socio-economic, educational, cultural, media and public opinion formation spheres.