Since 2001, the system of the public health of Russian Federation is effectively used tool of the statistical observation, founded on System account public healths, which allows to collect and analyze financial-economic information on all establishments of the system of the public health – a form 62 "Information about realization of the Program state warranty rendering to people of Russian Federation medicare". Information collected by means of given forms, is an important element for system financial-economic monitoring and forecasting of the needs for program and action, directed on reluctance to spreading HIV-infections. In this article given mathematical motivation existing dependencies of the volume of the financing the programs and action, directed on prevention of the spreading HIV-infections, and quality of the work on revealing the events HIV-infections in Russian Federation.