Acknowledgment of Indigenous and Tribal Rights on the American continent recently has been significant. With a long way to go, recognition of their rights, its particular way to understand the society, its connection with earth and identity conception, achieve an exceptional worth. The trend of International Judicial Bodies on Human Rights, particularly Inter-American Court of Human Rights, comes from an anthropological view of the matter. Vision emphasizes the analysis of property right around identity, diversity and cultural integrity concepts. Likewise, it reveals the importance of the acknowledgement of collective subject in order to guarantee and respect the effective observance of Indigenous and Tribal Peoples rights in the hemisphere. The document aims to identify the scope of substantial rights recognition of traditional lands property right and criteria of redress in the Inter-American Court of Human Rights Jurisprudence.