The ternary complexes of the zinc(II), [Zn(met)(gly)(Cl)2] (1), and [Zn(met)(hist)(Cl)2] (2) are synthesized and illustrated utilizing spectroscopic and analytical measurements, and the geometry of the complexes has been identified to be octahedral. The Coats Red fern approach was employed to enumerate the thermodynamic and kinetic variables for both the Zn(II) complexes' decomposition. The quantum chemical variables were estimated utilizing the molecular orbital conformations' energy distribution, which was derived from optimal geometric shapes to test the stabilization of both complexes. DNA‐binding investigations by UV–Vis absorption, fluorescence, and viscosity were all exploited to examine the bonding properties between Zn(II) complexes and ct‐DNA, and a groove mode of bonding was established. The interactions between complexes and BSA/HSA were investigated by employing absorption and emission spectroscopic methods. The results demonstrate that complexes have a powerful ability to diminish BSA and HSA luminescence intensity, and overall associating mode is predominantly a static quenching process.The cytotoxic effect of the two Zn(II) complexes was additionally examined in human breast adenocarcinoma (MCF‐7 and MDA‐MB‐231) cell lines by employing the MTT technique. The IC50 values for every cell line were derived. Each of the two complexes was functional in both cell lines.