Human telomeric DNA is composed of GGGTTA repeats. The presence of consecutive guanines makes the telomeric G-strand prone to fold into contiguous (or tandem) G-quadruplexes (G4s). The aim of this study was to provide a clarified picture of the stability of telomeric tandem G4 structures as a function of the number of G4 units and of boundary sequences, and an understanding of the diversity of their melting behaviors in terms of the single G4 units composing them. To this purpose we undertook an UV-spectroscopic investigation of the structure and stability of telomeric repeats potentially able to fold into up to four contiguous G4s, flanked or not by TTA sequences at their 5' and 3' extremities. We explain why the stability of (GGGTTA)4m-1GGG structures (m = 2, 3, 4 …) decreases with increasing the number m of G4 units, whereas the stability of TTA-(GGGTTA)4m-1GGG-TTA structures does not. Our results support that the inner G4 units have similar stabilities, whereas the stabilities of the terminal G4 units are modulated by their flanking nucleotides: in a TTA-(GGGTTA)4m-1GGG-TTA tandem context, the terminal G4 units are roughly as stable as the inner G4 units; while in a (GGGTTA)4m-1GGG tandem context, the G4 at the 5' extremity is more stable than the G4 at the 3' extremity, which in turn is more stable than an inner G4. Our study provides new information about the global and local stability of telomeric tandem G4 structures under near physiological conditions.