It is now established that a small fraction of genomic DNA does adopt the non-canonical B-DNA structure or 'unusual' DNA structure. The unusual DNA structures like DNA-hairpin, cruciform, Z-DNA, triplex and tetraplex are represented as hotspots of chromosomal breaks, homologous recombination and gross chromosomal rearrangements since they are prone to the structural alterations. Friedreich's ataxia (FRDA), the autosomal recessive degenerative disorder of nervous and muscles tissue, is caused by the massive expansion of (GAA) repeats that occur in the first intron of Frataxin gene X25 on chromosome 9q13-q21.1. The purine strand of the DNA in the expanded (GAA) repeat region folds back to form the (R.R*Y) type of triplex, which further inhibits the frataxin gene expression, and this clearly suggests that the shape of DNA is the determining factor in the cellular function. FRDA is the only disease known so far to be associated with DNA triplex. Structural characterization of GAA-containing DNA triplexes using some simple biophysical methods like UV melting, UV absorption, circular dichroic spectroscopy and electrophoretic mobility shift assay are discussed. Further, the clinical aspects and genetic analysis of FRDA patients who carry (GAA) repeat expansions are presented. The potential of some small molecules that do not favour the DNA triplex formation as therapeutics for FRDA are also briefly discussed.