Using the CASSCF/CASPT2 methodology the electronic transitions HOMO → LUMO, HOMO → LUMO+1, HOMO-1 → LUMO and HOMO-2 → LUMO are determined for C60.Comparison to experiment suggests an accuracy better than 0.3 eV. Some illustrative examples are (with experimental data within parentheses) the first excited state, 3T2g, at 1.54 eV (1.60 eV), the two lowest-lying 1T1u states (for spin- and symmetry-allowed transitions) at 3.09 eV (3.08 eV) and 3.19 eV (3.30 eV) and the lowest singlet excited states (1Gg, 1T1g, 1T2g , 1Hg) at [1.84, 1.95] eV (1.90 eV with mainly 1Gg and 1T1g and minor 1T2g character).