Benzoxazine and epoxy resins belong to the class of thermosets and have excellent mechanical, thermal and chemical properties. Broad application field of these resins is increased by incorporating these two resins into one polymer. Polymer composite shows improved thermal and mechanical properties while also exhibiting unique properties in the field of shape memory polymers such as shape fixity, shape recovery ratio, recovery stress and shape recovery rate. The usage of benzoxazine resins, as sole cross-linking agent in epoxy resins, proves to be a good solution as it increases cross-linking density, glass transition temperature, flexural strength and storage modulus. This polymer composite is most commonly used as a material in biomedicine, aerospace engineering, textile industry, as a structural material and it presents new challenges for future research in this field. Polymers and polymer composites with shape memory effects represent a bright future in the discovery of new applications also in bio-compatible materials field.