Abstract: Considering the current status of heat dissipation structure topology optimization design, a topology optimization method was proposed based on finite volume method for the steady-state heat conduction structure design. A strategy was proposed to simulate two typical regional discrete, including the internal and the external node methods. Based on the density approach, a topology optimization mathematics model was developed with the dissipation of heat potential capacity as objective function to deal with optimization problem in three boundary conditions. Results show that, the heat dissipation of the structure can be improved effectively with both the regional discrete optimization design methods, internal and the external node methods. The topology optimization mathematics model can also identify optimal heat dissipation route for tepid influence.