In this paper，the classification and development trend of deployable space structures are summarized. The application status of stiff matrix high strain composites in deployable space structures is summarized from four aspects： hinged deployable structures-spring hinges，rod like deployable structures，plane like deployable structures and volume deployable structures.The application advantages and problems to be considered in deployable structures are proposed from the mechanical and viscoelastic properties.The stiff matrix high strain composite with high modulus，low density and low expansion coefficient is the application direction of space deployable structures.However，the design method of rigid matrix high strain composite deployable structures， as well as the low-cost and high-precision manufacturing process for large size deployable structures，still have a lot of space to explore.