Taking the transient heat transfer process of billet in the step-bottom heating furnace as the research object,the three-dimensional transient heat transfer model of the billet in the furnace was established by comprehensively considering the interaction between the billet,the stepping bottom,the lining,and the combustion gas.The black box experiment is used to verify the model,which shows that the model can accurately predict the temperature level and change law inside the billet during the heating process,and the model prediction error is less than 6%and the hit rate is more than 80%,which provides theoretical guidance for future process optimization.