It is growingly accepted that the Planet has entered into a new geological era, the Anthropocene. Even if it is controversial to assess the changes in the Earth System brought by this geological transformation, it seems clear that the increasing exchange between society and its biophysical support gives as a result a global ecosocial network of astonishing complexity. Consequently, it has been concluded that the Anthropocene would be a more unstable geological period compared with the Holocene, with escalating plausibility of nonlinear disruptive events. International institutions and governments of states continue to produce environmental regulations, inspired in a constitutional framing of the global environmental crisis. This approach is largely based in the concept of sustainable development, which implies a negation of planetary change and ignores the growing uncertainty of planetary processes, according to the complexity of interactions of human agency and planetary evolution in the Anthropocene. The occurrence of nonlinear events is at odds with a political and legal vision which is essentially static, because of the confidence in some kind of technological fix of global environmental crisis. This paper is focused on the inability of sustainability to capture the implications of the narrative of planetary transformation, and explores the concept of resilience as alternative.