In this study, we conducted the synthesis of a composite material by grafting an acrylonitrile-co-styrene (AN-co-St) polymer into sodium alginate and incorporating CuO (copper oxide) and TiO2 (titanium dioxide) nanoparticles. The primary objective was to investigate the potential anticancer and antioxidant activities of the composite material. First, CuO and TiO2 nanoparticles were synthesized and characterized for their size, morphology, and surface properties. Subsequently, these nanoparticles were integrated into the sodium alginate matrix, which had been grafted with the AN-co-St polymer, resulting in the formation of the composite material. To confirm successful nanoparticle incorporation and assess the structural integrity of the composite, various techniques such as X-ray diffraction analysis (XRD), scanning electron microscopy-energy dispersive X-ray analysis (SEM-EDX), Fourier-transform infrared spectroscopy (FTIR), and thermogravimetric analysis (TGA) were employed. The composite material’s anticancer and antioxidant activities were then evaluated. In vitro cell viability assays using the HepG-2 cell line were performed to assess potential cytotoxic effects, while antioxidant (DPPH) assays were conducted to determine the composite’s ability to scavenge free radicals and protect against oxidative stress. Preliminary results indicate that the composite material demonstrated promising anticancer and antioxidant activities. The presence of CuO and TiO2 nanoparticles within the composite contributed to these effects, as these nanoparticles are known to possess anticancer and antioxidant properties. Furthermore, the grafting of the AN-co-St polymer into sodium alginate enhanced the overall performance and stability of the composite material.