Responsive hydrogels have found widespread applications in biomedical science and engineering fields, especially for drug delivery. Despite the superior performance of responsive hydrogels, challenges still exist in drug-delivery efficiency when environmental stimuli are weak. Recently, the demand in the design of hydrogel-based drug delivery systems has stimulated considerable interest in the search for new strategies, for instance, the application of nanocomposite hydrogels for reinforcing the versatility and flexibility in controlled drug delivery. In this study, a novel and effective nanocomposite hydrogel microcapsule drug delivery system, which is composed of poly(N-isopropylacrylamide) (PNIPAM) and alginate interpenetrating polymer and GO-Fe3O4 nanomaterials, is developed to achieve NIR light-, magneto-, and pH-responsive drug release. The GO-Fe3O4 nanomaterials embedded in the interpenetrating polymer enable the PNIPAM hydrogel deswelling by raising temperature above the lower critical solution temperature under NIR light and alternating magnetic field, thus accelerating the release of doxorubicin. In addition, the introduction of alginate into PNIPAM hydrogels endows nanocomposite hydrogels (NCHs) with quick gelation property, enhanced mechanical property, and pH-responsive performance. The in vitro cytotoxicity assay confirmed that the NCH platform can effectively kill the cancer cells. This novel multiresponsive drug delivery system holds great promise for the treatment of diseases.