Development results of mathematical models for the movement of layers of blast-furnace charge and the melt accumulation of liquid smelting products in the blast furnace hearth are presented. Movement of layers of iron ore materials and coke is modeled along the working space height, taking into account the given ore load in equal-sized annular blast furnace zones. Model provides for the adjustment of masses and volumes of cast iron and slag melts in accordance with changing melting conditions—blast consumption, natural gas, oxygen concentration in the blast, changing coke specific consumption. The developed mathematical models make it possible to evaluate the dynamics of changes in the configuration of blast-furnace charge layers along the working space height, as well as the melt accumulation process in the blast furnace hearth, using really available information about the operating furnace.