Cancer cells often develop tolerance to chemotherapy, targeted therapy, and immunotherapy drugs either before or during treatment. The significant heterogeneity among various tumors poses a critical challenge in modern cancer research, particularly in overcoming drug resistance. Copper, as an essential trace element in the body, participates in various biological processes of diseases, including cancers. The growth of many types of tumor cells exhibits a heightened dependence on copper. Thus, targeting copper metabolism or inducing cuproptosis may be potential ways to overcome cancer drug resistance. Copper chelators have shown potential in overcoming cancer drug resistance by targeting copper-dependent processes in cancer cells. In contrast, copper ionophores, copper-based nanomaterials, and other small molecules have been used to induce copper-dependent cell death (cuproptosis) in cancer cells, including drug-resistant tumor cells. This review summarizes the regulation of copper metabolism and cuproptosis in cancer cells and the role of copper metabolism and cuproptosis in cancer drug resistance, providing ideas for overcoming cancer resistance in the future.