According to the principle of thermal continuous casting technology, fully considering the three-way transmission process of metallurgical unit, the heat transfer of some small parts was approximated, and the physical and mathematical models of the two-dimensional steady-state temperature field of the solidification process of thermal continuous casting were established. The application of process parameters such as calculating mold outlet temperature, cooling distance, drawing speed and water spray cooling intensity was compiled, and it was iteratively run in the VC++6.0 environment, and the influence degree of the above process parameters on the position of the solid-liquid interface of the casting billet was theoretically obtained. A number of pure copper hot type continuous casting experiments were carried out, and the calculation results were in good agreement with the measured values and experimental results reported in the literature, and also showed the correctness of the two-dimensional model.