The mathematical model which allows us to describe, with the help of calculations of thermodynamic balance, the kinetics of barbotage of oxide melt by various reducing gases is offered. The algorithm of calculation is developed. The model is tested on system NiO-FeO-Al2O3-SiO2-CaO-Mg-COCO2. The comparative analysis of computation and experimental data has shown that the offered model can be used in the qualitative analysis of processes of interaction of multicomponent oxide melts with gasesreducers of various composition. The calculations describing the kinetics of reduction of nickel oxide by hydrogen in system NiO-CaO-B2O3 in an interval of temperatures 1473-1973 K are carried out.