Acoustic metamaterials are a kind of artificial structures, and it has some special physical properties such as negative mass, negative stiffness, etc. Compared with traditional acoustic materials, acoustic metamaterials have the advantages of flexible design and expansibility. Acoustic metamaterials with small size and light weight can be used for low frequency vibration and noise reductions, low frequency broadband acoustic controls, etc. By using biological principles, bionic acoustic metamaterials have been investigate extensively. In this paper, aerodynamic noise reduction, low frequency acoustic wave control and underwater applications of bioinspired acoustic metamaterials in the past decades are reviewed. It is expected that biomimetic acoustic metamaterials will play greater roles in low-frequency acoustic wave control and underwater applications.