Under the condition of satellite platform′s jitter, the push-broom high-resolution optical imaging often produces distortion, which affects the accuracy of the image positioning and information extraction. According to the critical compensation issue for distorted images, a steady-state imaging model with the linear accelerometer directly measuring platform jitter was proposed to achieve reconstruction of high-resolution distorted images. The effectiveness was validated by using the distorted panchromatic image of a high-resolution satellite affected by platform jitter. The analysis results show that the linear accelerometer can effectively detect and measure the platform jitter, the designed on-ground reconstruction model of jitter image can effectively improve the distorted imaging of push-broom optical image caused by platform jitter, and the jitter image′s distortion phenomenon can be obviously eliminated.