Abstract: Functionally gradient materials(FGMs),for their novel material design connotation,outstanding characteristic and widespread application prospect,receive a widespread attention of research workers.In this paper,the development of FGMs is introduced,and the domestic and foreign application situation of the polymer FGMs in the field of sound stealth and electromag-netic wave stealth is summarized.Further development trends of the FGMs in the sound stealth and the electromagnetic wave stealth is covered.