A method on restoration of spaceborne time delay and integration charge coupled divice(TDI-CCD) camera shift-variant blurred image is proposed.First,the principle of a TDI-CCD is introduced,and the characteristic of(TDI-CCD) is it is especially sensitive to vibration.The model of the point spread function(PSF) of the motion blur process is set up,and the conclusion that the blur process of a TDI-CCD is space shift-variant is reached.Then,the vibration detecting method based on high-speed CCD and an improved gray projection algorithm are proposed to detect the parameters of vibration.Finally,the line by line image restoration method is used to restore the motion blurred image.The experiments are set up on liner motion and sine vibration,respectively.The results are evaluated by peak signal to noise ratio(PSNR).Aim at the liner motion,the PSNR of the blurred image is 33.98 dB,and the PSNR of the restored image is 41.14 dB.Aim at the sine vibration,the PSNR of the blurred image is 39.68 dB,and the PSNR of the restored image is 45.12 dB.