The aim of the work is the development of models for predicting the properties of final blast-furnace slags for the rapid assessment of the slag regime and the development of sound management recommendations when using various additives in the operating conditions of blast furnaces in Ukraine. A two-stage approach to calculating the properties of blast-furnace slag is proposed: according to the model of a “homogeneous” melt and taking into account its heterogeneity. A predictive model has been developed for calculating the viscosity of a «homogeneous» slag by including the integral parameter of the slag melt parameter e in the model structure, which takes into account the individual effect on the viscosity of each component of the slag composition. The current production data of the chemical composition of the final slag shows the effect of the magnesia content, alkaline compounds, basicity, Al2O3/MgO ratio on the calculated viscosity of the slags. For various operating conditions of blast furnaces, it has been shown that, due to incomplete combustion of coke and pulverized coal, the viscosity of slags increases by 1.5–2 times and their melting temperatures by 30–500C. Comparative analysis of the calculated properties of slag for different operating conditions of 3 furnaces in Ukraine confirms the appropriateness of using a complex of predictive models for the rapid assessment of the technological properties of slag, which makes it possible to choose a rational slag mode in modern conditions of blast smelting.