This paper presents the results of developing a direct-reduced iron behavior model at Lebedinsky GOK JSC produced by briquette press roller compression during HBI production. The correct model for the dependency δ = f(p) can be produced based on the analogy method during the integrated processing of data on the physical and mechanical properties of direct-reduced iron based on briquette press process parameters and the physical and mechanical properties of the produced HBI. The performed assessment of the model’s applicability for further calculations in modern computing packages involved comparing the results of analytically simplified calculation of contact pressure distribution on briquette press rollers. It was based on the basic provisions of the roll compacting theory for powdered material and showed that the proposed model is adequate. The authors establish that the maximum pressure on the contact surface is observed in the plane that crosses the axes of the press rollers. From the practical standpoint, a more even distribution of contact pressures over the working surfaces of rollers achieved with lower values of the axial pressure distribution irregularity coefficient m shall help prevent the wear of roll sleeves and minimize energy inputs required by the process. Thus, the reduction of the m values makes briquetting more energy efficient.