From simple topological considerations, a new method for calculating the coefficients of the Girifalco intermolecular potential for various fullerenes is proposed. It eliminates the necessity of fitting its coefficients to experimental data for each specific fullerene. We calculate this coefficients for few higher and smaller fullerenes and plot the corresponding potentials against the intermolecular distance. Results are compared with those for C-70 available in the literature The possibility for applications of this method is discussed.