An innovative ternary copper(II) complex, [Cu(Cl-PIP)(Tyr)Cl](n), has been synthesized and characterized using infrared spectroscopy, elemental analysis and single-crystal X-ray diffraction analysis. X-ray crystallography indicates that the Cu atom is five-coordinated in a square-pyramidal configuration. The unit forms a one-dimensional chain along the crystallographic c-axis. The complex was screened for cytotoxicity against a panel of eight human cancer cell lines, namely MDA-MB-231, CAL-51, K562, HeLa, SGC-7901, A549, MCF-7 and SMMC-7721. The best anticancer activity was obtained with triple-negative breast cancer CAL-51 and MDA-MB-231 cell lines, with IC50 values in the range 0.035-0.10 mu M, and this was better than using carboplatin. The complex inhibits proteasomal chymotrypsin-like activity, and docking studies reveal its interaction with 20S proteasome. In addition, the complex causes accumulation of ubiquitinated proteins, induces apoptosis and inhibits cell proliferation, indicating its great potential as a novel therapy for triple-negative breast cancer.