The article gives reason to say, that the key point of globalization in the field of human rights is the universalization of this area. The universalization of human rights is a key trend, but not the only, in their development. Human rights as universal moral principles specification are the rules on which peaceful coexistence of individuals and different cultures in terms of global problems is possible. Such an approach allows to solve the seemingly irreconcilable contradiction between the positions of the universalism of human rights and cultural identity pluralism: the right to cultural identity is a significant individual right. There should be a critical approach to the thesis of the insurmountable fundamentality of cultural differences between Eastern and Western cultures. It is necessary to distinguish between situations of imposing Western standards on other cultures and the real importance and universality of human rights for the modern world. Cultural diversity should never be used as an excuse for chauvinistic nationalism. It is intercultural dialogues that should facilitate fruitful exchanges of ideas on human rights issues in the perspective of cultural diversity and become the basis for the formation of a dialogical civilization. Contemporary human rights discourse has to take place in the context of a global world order emergence through the juxtaposition of concepts such as universality, cultural diversity and cultural dialogue