The contribution of different factors in the interaction of ethidium intercalated into various sequences of a triple helix, or in the region of the junction between the double- and triple-stranded DNA has been studied by energy minimization. It is found that in the total energy of the ethidium- triple helix complexes, a particular electrostatic contribution emerges due to the presence of protonated cytosines in the triple helix. This parameters is determinant in the sequence-specificity of ethidium binding to the triple helix. The preferred intercalation sites of ethidium in the triple helix are proposed. The interaction of ethidium at the triplex-duplex junction, and its effects are also discussed. This study is aimed at searching for new drugs specific for the triple helix, or for the triplex-duplex junctions.