A novel geometric robust zero-watermarking scheme, which uses Computer Generated Holograms (CGHs) as the watermarks, is presented. In the zero-watermark construction process, the host image is decomposed with discrete wavelet transform and the low frequency sub-band is divided into nonoverlapping blocks. Singular Value Decomposition (SVD) is applied to every block. A quantization matrix is obtained by quantizing the largest singular value of each block. Using the quantization matrix and the mark CGH, the zero-watermark which is registered in the database of IPR can be constructed. In the detection process, the geometric distortion parameters of the attacked image are estimated first by the proposed improved geometric correction method based on the Zernike moments and invariant centroid. Then, the mark hologram is extracted from the recovered image. Compared with traditional zero-watermarking methods and digital hologram watermarking methods, the suggested watermarking scheme provides better performance for resisting geometric attacks. The experimental results demonstrate that the proposed watermarking scheme is robust against rotation, scaling, translation, flipping and combined attack, as well as a variety of common manipulations such as filtering, additive noise, JPEG compression, blurring, cropping and contrast enhancement.