A surface plasmon resonance (SPR) biosensor with a bimetallic structure of copper and nickel combined with a two-dimensional MXene layer has been proposed for breast cancer detection and analysis. This highly sensitive and accurate structure was obtained by optimizing the biosensor layers, achieving sensitivities of 297.22 (deg/RIU) for the MDA-MB-231 breast cancer cell and 310.31 (deg/RIU) for the MCF-7 cell. The numerical results showed that this biosensor exhibits superior sensitivity compared to previous studies. By placing the cancerous MDA-MB-231 and MCF-7 cell samples on the biosensor, plasmonic coupling occurs between the metal layers and polarized light. The effect of breast cancer molecules in the sample causes visible changes on the active surface of the biosensor. Through SPR analysis of optical changes, this biosensor enables the precise determination of breast cancer. This study demonstrates that combining copper, nickel, and MXene in an SPR configuration can enable early breast cancer diagnosis.