A mathematical model for feeding strip steel process has been developed using energy conservation principle on traveling thin-cell and introduction of relative steel strip feeding speed. Model equations are solved by using the finite volume method, and computer code is made out by Visual Basic language. The numerical simulation is carried out on a typical feeding steel strip in continuous casting mold. The temperature distribution of continuous casting strand and solidification state curve of feeding strip steel are obtained. The results show that conventional temperature field and solidification behavior from surface to interior of strand are changed by a feeding strip steel process. Strip steel in mold firstly solidifies and then melts again, the superheat of molten steel and temperature gradient of strand decrease. These are beneficial for formation of equiaxed dendrite in strand. At the same time, the effects of some parameters such as size of feeding strip steel, casting speed and superheat on solidification process are also studied.