Based on chaotic system and singular value decomposition （SVD）, a novel zero-bit watermarking algorithm is presented. The proposed approach changed the traditional ways that copyright is protected by modifying the contents of images. Taking advantage of the characteristics of extreme sensitivity to initial values, Logistic mapping is used to find the hiding position of information, which enhances the schemes security. The invariant characters of SVD are applied to make the watermarks of registration center, which make the watermarked image distortion-free. and can protect the copyright effectively. Binary image is selected as watermark image so that the watermarks of existing zero-bit watermarking algorithms are no longer invisible and meaningless. The relationship between watermark capacity and security is also analyzed. Simulation of the algorithm was performed on different types of images, including standard test image, cartoon image, medical image, poem image, remote sensing image and natural scenery image, and the results were compared with existing algorithms. Results show that the propsed algrithm is simple and applicable, and can resist many attacks such as filtering, noising, JPEG compression, and shearing.