The ring currents of some benzenoids were calculated using a graph theoretical model as called Randic. This model follows the first law of Kirchhoff. And it gives a qualitative visualization of currents expressive as plotted maps. The currents in the maps are decomposed into perimeter and interior bond currents. The results showed that the induced currents of bonds on perimeter of all molecules were diatropic (anticlockwise). And all the molecules were aromatic (diamagnetic). The numerical values indicated that the currents were affected by the shape and the size of molecules.