World natural heritage sites have become the focus of world because of its outstanding universal value. However, in recent years, sudden geological disasters have seriously threatened the integrity and sustainable development of heritage sites. Based on the spatial and statistical data of global sudden geological disasters and natural heritage sites, using GIS and mathematical statistics methods, this paper constructs a global-scale risk assessment method for three different types of sudden geological disasters in natural heritage sites: volcanic eruption, landslides and earthquakes, and classifies the disaster risk levels of 239 heritage sites. The evaluation results are analyzed from two aspects of space and quantity. The results show that 149 natural heritage sites are significantly exposed to at least one sudden geological hazard. Natural heritage sites in North America have the highest risk of volcanic eruption, and natural heritage sites in Asia have the highest risk of landslides and earthquakes, while the three disaster risks of natural heritage sites in Oceania are relatively low. Landslides are more prevalent and threatening to natural heritage sites than volcanic eruptions and earthquakes. The research results can provide effective reference for ascertaining the actual disaster situations in world natural heritage sites, optimizing the protection funds, and improving the "Sustainable Development Goals 2030" 11.4. [ABSTRACT FROM AUTHOR]