Telomeres provide the protective cap to the ends of linear chromosomes. The regulation of telomere length is essential in maintaining genome stability. Impairing the telomere maintenance leads to dysfunctional telomeres, resulting in telomere shortening associated with diseases such as bone marrow failure, premature aging, and cancer. Telomere maintenance is dependent on strict coordination between telomeric protein complexes, telomerase, and telomeric DNA. Shelterin represents the major protein complex that binds telomeric DNA with a high affinity and sequence specificity. Moreover, shelterin directly recruits numerous telomere-associated factors, including telomerase, and is responsible for shaping the telomeric structure and guarding telomeres against DNA damage response machinery. The assembly and cooperation of human shelterin proteins can regulate the functions of the whole complex. Therefore, the complex formation through dynamic interactions between shelterin subunits is essential in telomere maintenance. To elucidate the molecular mechanism of human shelterin assembly, we focused on the telomeric repeat binding factors TRF1 and TRF2, which together with TIN2 (TERF1-interacting nuclear factor 2) form the core of the shelterin complex. We applied a single-molecule approach based on fluorescence cross-correlation spectroscopy (FCCS) to monitor the spontaneous intensity fluctuations as the differently fluorescently labeled TRF1/TRF2 and TIN2 diffuse through the confocal volume of a microscope. The cross-correlation analysis of measured intensity traces enabled us to understand the TRF1-TIN2-TRF2 complex formation. We found that TRF1 can effectively replace TRF2 bound to TIN2. In contrast, TRF2 had no evident effect on the TRF1-TIN2 complex. Furthermore, we assessed the effect of shelterin factor TPP1 (adrenocortical dysplasia protein homolog) in promoting whole shelterin complexation. Strikingly, TPP1 addition expanded the TIN2 binding capacity and allowed TIN2 to accommodate both TRF1 and TRF2 simultaneously. We proposed a model describing the assembly of human shelterin core subunits in solution. We highlighted the TPP1 binding to TIN2 as an essential step in stable shelterin formation. Moreover, we suggested the TPP1-TIN2 interaction as the potential weakest point in shelterin assembly, hence the critical step in telomere maintenance. The thesis outcomes contribute to understanding human shelterin assembly and describe the role of TPP1 in promoting the whole shelterin complexation. The obtained findings address the cooperation of full-length telomeric proteins essential in telomere maintenance at the single-molecule level. In addition, the FCCS-based single-molecule platform served for methodologically related studies, where we characterized the practical impacts of deuterated water in fluorescence-based methods.