Polymer matrix composites （PMCs） have become one kind of the most important structure materials in the aerospace field due to their advantages of high specific strength，high specific stiffness and excellent vibration damping performance.Structure-damping composites can be achieved by hybridization.In this review，the damping properties of structure-damping hybrid composites are summarized.Vibration damping properties of structure-damping hybrid composites are analyzed in details based on micro/nano material hybridization，intraply hybridization，interply hybridization and sandwich hybridization.In addition，this paper identifies some technical challenges and suggestions of further application for structure-damping hybrid composites in future.