There are right to healthy environment and right to sustainable development analized in regard of climate change and degradation of Earth ecosystem as a whole in this paper. The aim of this issue is to identify at what level the nexus between two of the third generation human rights – the right to healthy and sound environment and right to sustainable development – is established in the framework of United Nations. The paper is structurized into three parts, where the typology of three generation human rights, so specific for United Nations, is discussed. There are also jurisprudence of main United Nations conventional human rights bodies overviewed in a prospective of the right to healthy environment and coordinative activity of the United Nations in accordance to sustainable development analized here.