The results of the analysis of epidemiological and epizootiological situation on anthrax in the Russian Federation and in the world in 2019 are presented in the paper. The forecast of morbidity rates in the Russian Federation for 2020 is made. In 2019, five cases of cutaneous anthrax were registered in the Russian Federation in two regions of the North Caucasian Federal District – Republic of Dagestan (4) and Stavropol Territory (1), which is two cases plus as compared to 2018. Outbreaks of infection among livestock animals and humans were recorded in such neighboring countries as Azerbaijan, Armenia, Belarus, Kazakhstan, Kyrgyzstan and Tajikistan. The unfavorable epizootiological situation on anthrax was observed almost everywhere. The highest incidence rates among wild and livestock animals were found in a number of countries in Asia and Africa. Anthrax among people was registered mainly in African countries, infection occurred mainly by alimentary route, less often – through contact with carcasses, meat of animals. Anthrax morbidity rates among animals and humans in the Russian Federation in 2020 will be largely determined by the completeness of registration and coverage with specific immunization of livestock animals and groups of people under professional risk of infection and, if measures are fully implemented, incidence will not exceed single cases.