With the rapid development of information technology, digital media intellectual property protection and information security are more and more important. In this paper, an image dual watermarking algorithm based on wavelet transform is proposed.First, the luminance component of original image is subjected to three discrete wavelet transforms (DWT) by HAAR wavelet. And the watermark is identified for chaotic encryption by Arnold transform and two-dimensional hyper-chaotic model. Then, the watermark is embedded in the low frequency component according to the JND model. And the watermark is embedded in the horizontal component according to the same key. The experimental results show that the double watermarking algorithm has good invisibility,robustness and security, and can effectively improve the image copyright authentication and protection ability.