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With the emerging technology of the H.264/AVC standard, highly efficient H.264/AVC standard is likely to find use in a wide variety of applications such as 3G Wireless and is destined to revolutionize video picture quality over wireless network. Thus, in order for authors and designers to protect their digital works, some form of security needs to be applied to the H.264/AVC data. Unlike video data of prior videoing designs, watermarking a H.264/AVC video is not an easy tack, since many newly developed techniques become the new challenges for watermarking. This paper proposed a novel and efficient scheme to authenticate the H.264/AVC video. The scheme makes an accurate usage of the tree-structured motion compensation, motion estimation and Lagrangian optimization of the standard. Authentication information is embedded strictly based on the best mode decision strategy in the sense that if undergone any spatial and temporal attacks, the scheme can detect the tampering by the sensitive mode change. And the experimental results prove the effectiveness the algorithm against many transcoding and signal processing attacks.