The electronic spectra of tetrathiafulvalene and its radical cation have been studied within the framework of the time-dependent density functional theory by using a conventional hybrid functional. The behaviour of the method has been analyzed through the computed vertical excitation energies for the low-lying electronic excited states. Although the procedure provides a correct description of many features of the spectra, deviations in the range 0.4-0.7 eV have been obtained for several transitions, from which one can conclude misleading assignments.