In the digitized world nowadays, digital content (audio, images, video, 3D meshes, etc.) can be easily copied, manipulated and distributed. Copyright protection and integrity verification of digital content have become urgent problems for multimedia owners and distributors. In addition, to alleviate bandwidth requirements, vector quantization (VQ) is an effective and popular vertex data compression technique for triangle meshes. In this paper, we present a new data hiding method for 3D triangle meshes in the predictive VQ domain. The proposed method is reversible and enables the cover mesh data to be completely restored when the payload is removed from the VQ bitstream. The mechanism is embedding the payload by modifying the prediction rules during the VQ process. Besides, the hash of the cover mesh can be hidden for the self authentication purpose. Experimental results demonstrate the high capacity of the proposed data hiding scheme.