Computational analysis of the aero-optic effects caused by hyper-speed fluctuation fields was presented , and the blurred infrared image was restored. First, a time-averaged modulation transfer function (MTF) which represents the aero-optic effects was derived, experimental results show that the amplitude response of the transmission function of the aero-optical effect can be characterized as a low-pass filter, which results in the blurring of the objects in the acquired infra-red images. The higher speed, the more serious image was blurred at the same flight height. Furthermore, the correctness of the theoretical MTF was evaluated by wind tunnel experiment. Finally, an adaptive Landweber iteration method was proposed to restore the blurred images, which updated the relaxation factors at each iteration. Experiments demonstrated that the method has higher convergence rate and better restoration effect.