Abstract: In the CAD/CAM expert system and all those fields of associated with the computer graphics, the efficient method describing graphes is great important to graphes accessed, operated and recognized. In the paper, a kind of graphic topology method is presented. It is less in requirement of memory source, faster in speed of graph accessed and displayed and simpler in operations of the graphic data. base. The computational mode of structural analysis is easy to obtain too. therefore, the interface between the geometrical graph and the finite element is couveniently realized.