Global climate warming for the last 10 years actualized the problem of mortality rise in some European countries in anomalous summer heat. Russia faced this problem in July-August 2010 when extreme heat entailed a significant elevation of mortality in 31 regions of the country primarily due to coronary heart disease and cerebrovascular diseases. The analysis of foreign researches has shown that old age and living in cities are leading risk factors of deat in anomalous heat. Experience of the European countries and USA evidences that stay in conditioned apartments and early referral for medical assistance are most effective death preventive measures in heat.