To solve the problem of jitter and distortion in the collected video images when the outer packaging industry inspects the appearance of the product. This paper proposes a video image stabilization algorithm based on the L1 norm optimization path. The SURF algorithm and the FREAK algorithm are used to detect and describe the feature points in the method frame of the video sequence; then, the KNN algorithm and the RANSAC algorithm are used to compare adjacent feature points between the frames are matched and screened; finally, the sequence frames are corrected and blacked out by the L1 norm optimization algorithm to obtain a stable image. Experiments show that in the two types of videos without foreground motion and with foreground motion, the average PSNR value of the video before and after image stabilization is increased by 5.094 dB and 4.273 dB respectively. Moreover, compared with the common feature matching algorithms, the proposed algorithm can significantly reduce the active smoothing factor of the camera path. The algorithm in this paper can effectively solve the problem of video jitter and distortion, improve the quality of jitter video, and has certain robustness.