Damping vibration reduction and noise reduction technology is the best method to suppress structural resonance and reduce structural noise performance. It mainly includes three effective methods: developing and adopting damping materials, designing and adopting damping and vibration reduction structures, and designing and arranging sensors. The experimental method is the most effective method to study damping performance, and there are mainly four kinds of commonly used experimental methods. The damping mechanisms of four common damping materials and the performance characterization are introduced. The performance characterization of vibration-damping structures and dampers widely used in aerospace field are elaborated, and evaluates their vibration reduction effects. Finally, the development needs of future research on damping and vibration reduction are proposed.