A classification system of catastrophic events is a methodology assembling all the catastrophe groups. There are many classifications of catastrophes. The most widely known are classified into: nature, consequences of the event, duration, affected territories and areas of the destroyed zone, and at last into the needed intervention measures. It is difficult to study the complexity of catastrophes with these classifications. We propose a new system of classifications of catastrophes based on “Complexity Criteria”. Within the scope of this paper, we focus first on organization, self-organization and emergence of the event, and then on spatial and temporal scales of the catastrophes. The organization is a key concept of complexity. In the catastrophe fi...