To suppress the aero-optic effect on object images,the phase retrieval algorithm is applied together with aero-optic mechanism to restore turbulence-degraded images.The principle of this algorithm is to reconstruct object images from their Fourier transform magnitude and is equivalent to the principle of the reconstruction of the Fourier phase.Two methods for phase retrieval,namely the iterative Fourier transform （IFT） algorithm and a new de-autocorrelation algorithm, are discussed.The current de-autocor- relation algorithm is improved by using the conjugate gradient（CG）method to solve the Gauss-Newton equation in order to accelerate convergence.The reconstruction done by the IFT algorithm does not always converge to correct results,but combination of the IFT algorithm and the de-autocorrelation algorithm will reduce the stagnation of the IFT algorithm and increase the effectiveness of phase retrieval.Expermental examples of restoration of a simulated turbulence-degraded image with white noise at signal-to-noise ratio （SNR）of 20 dB are given. The experimental results show that the recommended method is an effective method and less sensitive to noise.