The combination of ferroptosis, cuproptosis, and chemodynamic therapy (CDT) would be a potential strategy for tumor diagnosis and enhanced treatment. However, the therapeutic effect was severely limited by the lack of specific delivery of catalytic ions and the low Fenton reaction efficiency in tumor microenvironment (TME) with excess glutathione, limited acidity and insufficient endogenous hydrogen peroxide. In this work, p-carboxybenzenesulfonamide (BS), a carbonic anhydrase IX (CA IX) inhibitor, was modified on the surface of generation-5 poly(amidoamine) dendrimer to load copper peroxide nanoparticles, which were complexed with iron (Fe)-tannic acid (TF) networks for targeted magnetic resonance (MR) imaging and enhanced ferroptosis/cuproptosis/CDT by regulating TME. The formed CuO2@G5-BS/TF nanocomplexes with an average size of 39.4 nm could be specifically accumulated at tumor site and effectively internalized by metastatic 4T1 cells via the specific interaction between BS and CA IX over-expressed on tumor cells. Meanwhile, the inhibition of CA IX activity could not only decrease the intracellular pH to accelerate Fe3+/Cu2+ release, H2O2 self-supply and Fenton reaction, but also suppress tumor metastasis by alleviating the extracellular acidity in TME. Moreover, the reduction of Fe3+/Cu2+ by intracellular glutathione (GSH) could further amplify ROS generation and enhance CDT efficacy, and the GSH depletion could in turn inhibit GPX-4 mediated antioxidant reaction to induce ferroptosis, resulting in effective therapeutic efficacy. In vivo experimental results demonstrated that CuO2@G5-BS/TF could provide better tumor MR imaging, effectively inhibit the growth and metastasis of 4T1 breast tumors, and be metabolized without significant systemic toxicity. Thus, CuO2@G5-BS/TF nanocomplexes provided a new approach for targeted MR imaging and enhanced ferroptosis/cuproptosis/CDT of triple-negative breast cancer. Statement of significanceTaking the advantage of dendrimer and metal-phenolic system, stable CuO2@G5-BS/TF nanocomplexes with an average size of 39.4 nm were synthesized to efficiently load Fe3+ and CuO2 nanoparticles for TNBC treatment and MR imaging. CuO2@G5-BS/TF nanocomplexes could target tumor cells overexpressing CAIX via the specific binding with BS, and the inhibition of CAIX activity could not only decrease the intracellular pH to accelerate Fe3+/Cu2+ release, H2O2 self-supply and Fenton reaction, but also suppress tumor metastasis by alleviating the extracellular acidity. The reduction of Fe3+/Cu2+ by intracellular GSH could further amplify ·OH generation, and the GSH depletion could in turn inhibit GPX-4 mediated antioxidant reaction to induce ferroptosis, resulting in effective therapeutic efficacy by enhanced ferroptosis/cuproptosis/CDT via tumor microenvironment regulation.