In the article, life expectancy is a very important demographic indicator, which is a recognized indicator of the quality of life and health of the population. Life expectancy determines how many years a newborn baby will live during his life if the conditions at the time of birth are maintained. Therefore, the country's demographic policy should be aimed at increasing life expectancy. The life expectancy index was taken as the research object, and the factors and models influencing the life expectancy index were considered as the subject. In the study, it was studied that a mathematical model was created for the analysis and prediction of population life expectancy for the countries of the world.