Critical Infrastructure (CIN) is an important element of the modern world: Every nation must defend the crucial government, transportation, financial, energy, information, and other critical infrastructure systems against terrorist attacks and earthy cataclysms. Information security occupies a special place in the list of human priorities. The chapter examines the conundrums of avoidance of possible Internet-based crimes (cyber crimes) against Critical Infrastructures (CINs). One of the primary objectives of this chapter is to prove the relevance of the problem, as well as describe the probable phenomena and movements that could form a topic for further discussions and considerations in this area. The chapter’s main issue is highly vital due to the extreme dependability of financial bodies in the modern world that help accelerate the globalization processes involving the economies of all countries.