In order to correct pixel distortion and reduce time-varying blur,a novel blind restoration algorithm based on low-rank decomposition is proposed in this paper,which is capable of r estoring a high-quality image from the turbulence-degraded image sequence.The paper firstly analyzes the infrared imag e characteristics at the atmospheric turbulence.Next,it decomposes the turbulence sequence into two comp onents of the stabilized background,the turbulence and noise through low-rank decomposition.The decom position is simplified into a minimization of nuclear norm and Frobenius norm,optimized by inexact augmented Lagrange multiplier (IALM).Finally, a multi-frame blind deconvolution algorithm is implemented to deblur the stabil ized images,generating the final output.Experimental results verify the effectiveness of the algorithm.I t can effectively alleviate blur and distortions,improve visual quality and recovery speed significantly.