This article presents the hypothesis of formation of a new tendency: the auto-organization of the symbolic global system of the climate change. It identifies some auto-organizative signs in the present society, and gives to the climate change generation (those who will control the societies between 2020 and 2050) the responsibility of the acceleration of this tendency to arrive at a gradual transformation from the dominant behavior and to collectively approach mankind to the construction of a society with less carbon emissions. The author refers to some ideas exposed by the Chaos Theory and the auto-organization of the emergent systems, like Murray Gell Man and J. Doyne Farmer; and looks for support in the works of other thinkers like Jeremy Rifkin, James Lovelock and Taichi Sakaiya. The article finally concludes that to accelerate the tendency of the auto-organization of the symbolic global system of the climate change, understood as a cultural symbolic system, it is necessary to undertake a global educative effort, resulting in the gradual transformation of the present belief system that supports the dominant progress and development models.