In this paper, dual-response shape-memory polymers (SMPs) based on carboxylic styrene butadiene rubber (XSBR)/ferriferrous oxide (Fe3O4)/zinc dimethacrylate (ZDMA) were designed. Fe3O4 was incorporated to endow XSBR with a magnetic property and improve its glass transition temperature (T-g). ZDMA was employed as an in situ reinforcer and compatibilizer for Fe3O4 and XSBR, which further improved T-g of the SMPs by introducing ionic cross-linking points. With incorporation of 10 phr ZDMA, T-g increased to 28.3 degrees C, the shape fixation ratio of the SMP was similar to 100% at room temperature, the shape recovery ratio was similar to 100% in both a thermal field and an alternating magnetic field, and the tensile strength reached 30.26 MPa. The chemical and physical properties of the SMPs were characterized by curing tests, cross-link density measurements, scanning electron microscopy, differential scanning calorimetry, and tensile tests. Such dual-response SMPs exhibit potential applications in intelligent biomedical devices over a wide temperature range.