The study employs density functional theory (DFT) to examine the drug-loading efficiency of graphyne (GYN) as a vehicle for the Tioguanine (TG) drug. The researchers analyzed the interaction energy, electrical properties of pure GYN, TG molecules, and TG@GYN complex to determine their effectiveness as a carrier. Configuration a, which utilized nitrogen and sulfur atoms in interactions, was deemed the most suitable among the three considered TG sites. Gas-phase interaction between TG drug and GYN resulted in an energy of adsorption about -1.64 eV. The study utilized non-covalent interaction (NCI) analysis to assess the interaction between GYN and TG drug, indicating weak forces of interaction in the TG@GYN complex. The HOMO-LUMO and charge-decomposition analysis described the transfer of charge from TG molecules to pure GYN during formation of TG@GYN. The results suggest that GYN could function as a promising candidate for carrying and delivering TG drug, leading to further research into similar 2D nanomaterials for drug transport applications.