A new ternary monocopper(II) complex with co-ligands of 2,2′-diamino-4,4′-bithiazole (dabt) and picrate (pic), namely [Cu(dabt)(pic) 2 ], has been synthesized and characterized using elemental analyses, molar conductance measurements, infrared and electronic spectral studies and single-crystal X-ray diffraction. The crystal structure analyses revealed that the copper(II) ion has a {CuN 2 O 4 } distorted octahedral coordination environment. The hydrogen bonding interactions contribute to a three-dimensional supramolecular structure in the crystal. The reactivity towards herring sperm DNA showed that the copper(II) complex can interact with DNA in the mode of intercalation. The molecular docking of the complex with DNA sequence d(ACCGACGTCGGT) 2 demonstrated that the copper(II) complex is stabilized by hydrogen bonding interaction. The in vitro anticancer activities suggested that the copper(II) complex is active against selected tumor cell lines. The effects of the two co-ligands in the copper(II) complex on DNA-binding events and in vitro anticancer activity are preliminarily discussed.