This paper establishes a model of thermal checking calculation of heat supply network based on graph theory and thermodynamic calculation, by analyzing directly buried installation of thermal network utilizing the heat-transfer mechanism and principle of thermal equilibrium. Take the directly buried heat supply network for instance, in which hot water is as a heat medium. The establishment of the spatial database and attribute database of thermal network based on GIS and Microsoft Access respectively, as well as the thermodynamic calculation of thermal networks based on GIS developed by object oriented programming language VB is done .Thus enables point-and-click query, update on property and thermal calculation functions. Finally, through comparative study on the calculation results and actual operation of the system, we find the relative error of the thermodynamic temperature is less than 10%.