The article is devoted to the study of the terrorist organization «Islamic Jihad Group». The author analyzes the versions of its origin, the transformation of strategic priorities. Much attention is given to the relations of «Islamic Jihad Group» with other groups. The author notes that the vagueness of the jihadist ideological base creates opportunities for the modification of the terrorist groups. The author hypothesizes that the terrorist structures are created with a given life cycle. The author comes to the conclusion that the «Islamic Jihad Group» retains its destructive potential.