The star-shaped molecules present some of the important electronic delocalization between the attractive central ring, i.e. benzene, and the three ends p-electron donor groups. The star-shaped molecules are currently considered because of their wide potential applications. Some of them can act as discotic liquid crystals (DLCs). The 1, 3, 5-benzene core acts as an effective p-electron center to conjugate with the oligoaryleneethynylene groups of the 1, 3, 5-trisubstituted oligoaryleneethynylene benzene star-shaped molecules. The electrochemical properties of some of the fullerenes have been studied before. Since the discovery of fullerenes, one of the main classes of carbon compounds, the unusual structures and properties of these molecules and by the many potential applications and physicochemical properties have been discovered and were introduced. In this study, were studied the photophysical properties of the star-shaped molecules 1-9 during the photoelectron transfer (PET) with fullerenes. Some of the photophysical data that were communicated in the literature were: fluorescence emission maximum FEM (lem) and absorbance maximum wavelength AMWL (labs). The free energies and the activation free energies and maximum wave length of the PET process, based on the FEM and AMWL amounts, DGet, DG#et and let, respectively, were calculated in this study. The interesting results of the relationships and the photo-physical data of the supramolecular complexes of star-shaped molecules and the selected fullerenes were presented.