Abstract: In this paper Gabor holography of XUV, and phase retrieval method in eliminating twin-image of Gabor hologram are introduced. A code is completed for simulating the whole processes of construction and reconstruction of hologram, and of phase retrieval. The calculated results and comparison of three models are presented. Additionally, the requirements of plasma and experiment condition of X-ray laser Gabor holography are given out in paper. Phase retrieval method includes only once intensity measurement, through numerical iterations, the image of object is worked out.