In order to take into account the transparency and anti-geometric transformation ability of watermarking algorithm, by introducing the optical encryption method, the robust watermarking algorithm based on phase truncated Fresnel transform and total variational decomposition is proposed. Logistic mapping is introduced to obtain a set of chaotic sequences by iteration for constructing a random mask. Based on Fresnel transform and random mask, the optical encryption of watermarking information is completed. And then two private keys are obtained by using phase truncation mechanism. The host image is processed by total variational decomposition to obtain the cartoon and texture parts. The Discrete Wavelet Transform(DWT) is introduced to decompose the encrypted watermarking and texture parts, and the corresponding sub-band information are obtained. These sub-band information are fused and texture information embedded in watermarking is obtained by reversible DWT method. The watermarking image is formed by combining the watermarking texture part with the original cartoon part. The watermarking extraction method is designed to detect the encrypted watermarking information from the watermarking image, and two private keys are adopted to decrypt the encrypted watermarking information. The test data show that this algorithm takes into account the ideal transparency and robustness of watermarking, and under various geometric transformations, the reconstructed watermarking distortion is small with corresponding correlation coefficient above 0.9.