We report a thorough photophysical characterization of the interactions between double-stranded DNA (dsDNA) and the trimethine cyanine homodimer dye YOYO-3. The fluorescence emission of this dye is enhanced by intercalation within the DNA double helix. We have explored the saturation of the dsDNA by bound YOYO-3 at the single-molecule level by studying the single-pair Forster resonance energy transfer (FRET) from an energy donor, Alexa Fluor 488, tagged at the 5' end of the double helix and the energy acceptor, YOYO-3, bound to the same DNA molecule. The spontaneous binding of YOYO-3 gives rise to an effective distribution of different FRET efficiencies and, therefore, donor-acceptor (D-A) distances. These distributions reveal the existence of multiple states of YOYO-3. Steady-state and time-resolved fluorescence and circular dichroism confirmed the presence of a DNA-bound aggregate of YOYO-3, conspicuous at high dye/base pair ratios. The spectral features of the aggregate suggest that it may have the structure of a parallel H-aggregate.