The electronic structures of dianionic (C 2− 60 ) and trianionic (C 3− 60 ) have been examined, when a neutral c 60 molecule becomes C 2− 60 and C 3− 60 species. The structures are estimated taking into consideration the mixing of triply-degenerated lowest unoccupied molecular orbitals (LUMO; t 1u ) and the next LUMO (NLUMO; t 1g ) of a neutral C 60 molecule. A semi-empirical (INDO-type) Hartree-Fock scheme and the mixing of the t 1u and t 1g MOs by the conventional configuration interaction (CI) method are applied to the examination. The molecular structures of C 2− 60 and C 3− 60 are assumed to be an I h structural symmetry of a C 60 for the sake of simplicity. The most favorable electronic structures of C 2− 60 and C 3− 60 are predicted to be triplet and doublet, respectively. Both of these results signify that C 2− 60 and C 3− 60 obey the anti-Hund rule closely related with the Jahn-Teller distortion. Furthermore, in C 2− 60 , energy difference of this triplet state and the first excited singlet state is very close, which agrees well with the experimental observation.