A safe and highly robust blind watermarking algorithm was proposed. First, the image was encrypted through Logistic Chaotic scrambling. Second, the original image was subjected to three-dimensional NSCT. The low-frequency portion was extracted and divided into 8 × 8 blocks. Third, low-frequency sub-bands of the block were subjected to SVD. The chaos watermark was embedded in singular values of jitter modulation. The algorithm solved the problem of the False positive problem caused by singular value decomposition, reducing the false alarm rate. In the process of watermarking extraction, the original image was not used, and the watermark embedding and blind detection were realized. The experimental results showed that the algorithm improved the watermark security and had relatively strong resistance to common attacks. The algorithm meets the requirements of digital watermarking technology for the invisibility and robustness, and can play a role of copyright protection in the digital products.