In the present work we suggest the general model of C-60 fullerene-ligand complexation, adapted for numerical description of UV-Vis titration data and for obtaining equilibrium complexation constants and some other complexation parameters. The principal novelty of the model is the account for two major processes governing the complexation process, and the account for broad dispersion of C-60 fullerene clusters by dimension. It removes the existing barrier for the use of absorption spectroscopy for quantitation the C-60 fullerene-ligand complexation.