Globalization has created new challenges and threats. The article identifies threats and challenges of globalization that have the most devastating effect on cultural and natural heritage. It analyzes efforts of the international community to minimize them. The article studies economic, foreign policy, environmental and cultural threats to the world cultural heritage. Heritage sites can be destroyed as a result of environmental and technological challenges, extremist movements and wars, uncontrolled urbanization, predatory exploitation of nature and cultural objects for commercial purposes, and rapid development of international tourism. All these factors have a negative impact on cultural and natural heritage sites. The problem of protection of natural and cultural heritage is of institutional and documentary nature. The UNESCO international organization deals with World Heritage issues, compiling a list of endangered objects of cultural and natural significance. It combines international efforts to preserve and popularize them because of their special cultural, historical or environmental significance. Damage or extinction of cultural objects is tragic for the world heritage. Due to new dangers, the entire international community must participate in the protection of the natural and cultural heritage sites. Problems that cause irreparable harm to the world heritage are due to human activities. It is necessary to develop measures that could be a response to the problems of cultural heritage protection in the context of globalization. It is necessary to make people respect cultural and natural heritage and inform them about dangers threatening cultural objects.