In this dissertation, the formation of unusual G-quadruplexes in the critical regions of the c-myb and hTERT promoters for control of promoter activity was investigated.The c-myb promoter contains three copies of an almost perfect (GGA)4 sequence. We demonstrate that the each (GGA)4 repeat forms a tetrad:heptad G-quadruplex and any two of the three can intramolecularly dimerize to form T:H:H:T G-quadruplexes. The three T:H:H:T G-quadruplex combinations are of differing degrees of stability and can be further stabilized by G-quadruplex interactive compounds. We also demonstrate that the c-myb G-quadruplex forming region is a critical transcriptional regulatory element and interacts with various nuclear proteins including MAZ (Myc Associated Zinc finger protein). The data from luciferase reporter assay show that the c-myb GGA repeat region plays dual roles as a transcriptional activator and an inhibitor by serving as binding sites for the activators and by forming G-quadruplex structures in the region, respectively. Furthermore, we show that MAZ is a transcriptional repressor of the c-myb promoter and binds to both the double-stranded and T:H:H:T G-quadruplex-folded conformations of the GGA repeat region of the c-myb promoter.The hTERT core promoter contains a G-rich region of 12 consecutive G-tracts, which includes three critical Sp1 binding sites. Although this G-rich region has the potential to form multiple G-quadruplexes, our investigation on the full-length G-rich sequence demonstrate that the G-rich region forms a unique G-quadruplex structure in which two tandem intramolecular G-quadruplex structures are present, consisted of one G-quadruplex formed by the G-tracts 1-4 and the other formed by the G-tracts 5, 6, 11, and 12. We also demonstrate that the latter unusual structure contains a 26-base middle loop that likely forms a hairpin structure and is more stable than the other conventional G-quadruplex. Significantly, the formation of this unusual tandem G-quadruplex structure in the full-length will disable all three critical Sp1 binding sites, which will dramatically downregulate hTERT expression. G-quadruplex formation in the hTERT promoter suggests that the effect of G-quadruplex interactive ligands on telomerase inhibition and telomere shortening may be exerted by the direct interaction between the hTERT G-quadruplex structure and the ligands.