The prevalence of dust in some parts of the world, injuries, diseases and deaths of humans and animal species due to it has become transnational, so much so that the disruption in human life has led to the study of this phenomenon from different biological, geographical perspectives, It has become hygienic and medical. This article deals with the phenomenon of fine dust from the perspective of criminal law, relying on the role of governments in dealing with the resulting damage in a descriptive-analytical manner, and this issue has been considered as an international issue based on their criminal responsibility. The exercise of international responsibility is possible when a rule of international law has been violated; therefore, it is necessary that an illegal act be carried out at the international level. The research findings show that a distinction must be made between the action resulting from the exercise of state sovereignty and the exercise of its tenure, such as between the damage (whether human or financial) caused by particulate matter and the behavior of the state (including actual abandonment). If there is no reason to prevent or reduce particulate matter, the government is criminally liable for damages caused by particulate matter. If the causal relationship is complete: one is the relationship between injury and fine dust and the second is the relationship between fine dust and government behavior, crime is a document documented by the government, provided that the causal relationship is caused by a deliberate factor such as deliberate behavior.