A acoustic signal feature extraction method based on manifold learning was proposed and its application was explored. The purpose of this study was to extract accurately the acoustic features of low signal-to-noise ratio noise sources under noisy background, and also to improve the accuracy of sound source recognition. The short-time Fourier transform was used to locally linearize the signal, and singular value decomposition was used to eliminate the noise component, improving the effectiveness of the source signal in the acoustic signal. The adaptive local linear embedding was presented and used to construct the manifold learning high-dimensional matrix, and the adaptive algorithm was proposed to optimize the selection of adjacent points. Finally, the implementation process and simulation results of this method are given, and the method is successfully applied to the sound frequency feature extraction of compressor in oxygen plant under strong background noise. Furthermore, the validity of method has been tested by results of sound source classification feature recognition and the comparison of other manifold methods.