Publisher Summary Triple-helical DNA was first discovered more than 40 years ago. Renewed interest in this structure developed at the end of the 1980s because of two discoveries. First, sequence-specific recognition of double-helical DNA can be achieved by short oligonucleotides forming a short intermolecular triple helix. Moreover, it has been shown that DNA can adopt an intramolecular triple-helical structure, also called H-DNA, under certain conditions. After a brief description of the characteristics of triple-helical DNA, this chapter describes the physicochemical aspects of drug binding to triplex DNA, with special emphasis on the different methods used to study the binding of low molecular weight compounds to triplex DNA, through a review of examples published in the literature. Some methodological and general considerations about targeting triplehelical nucleic acids with drugs are also discussed, and the biological applications of such drugs are presented. Ligands that are selective for triplex DNA can be used to promote triple helix formation, but their interest is much broader as they represent a unique class of structure-specific ligands that could be used as tools to study the biological relevance of triple-stranded structures, or potentially as drugs acting on structure-related gene regulation. Both high-resolution structural information and thermodynamic as well as kinetic studies still need to be pursued to yield a better understanding of how drugs bind specifically to triplex DNA.