Time delay and integration charge-coupled devices (TDICCD) and multispectral linear array sensor are usually used as the imaging detector in aerospace remote sensing camera. In order to obtain high-quality aerospace remote sensing images, the charge transfer speed of the TDICCD is required to be equal to the image motion velocity and in the same direction. When the aerospace remote camera is in orbit push-broom imaging, the distortion will cause the mismatch between the image motion direction and the integration direction. In order to reduce the mismatch error between the direction of charge transfer and the image motion direction, the detectors are spliced into a curve to compensate for the image movement caused by distortion. First, a mathematical model of mismatch between the time delay and integration (TDI) direction and the image motion direction is established, and the directions of the pincushion distortion and the barrel distortion curve splicing are given respectively. Second, the calculation formula for the angle between the image shift direction and the TDI direction is derived, and the objective function is established to calculate the curve stitching angle of each detector. Finally, an on-orbit curve splicing experiment is carried out. The results show that the registration accuracy of the edge field of view after curve splicing is improved from 4 pixel to 1 pixel compared to before splicing.