It is found that the resolution of the striations is reduced from the center to the edge. In order to improve the edge spatial resolution of the streak, the compression sensing is applied to the X-ray streak camera imaging system. The compressed sensing reconstruction model is constructed for the streak camera, the compressed sensing objective function is implemented by orthogonal matching method, and the reconstruction parameters are optimized. After the original image is compared with the reconstructed image, the result shows that the contrast ratio of the compressed sensing reconstruction is 5% higher than the original; the limit resolution is 2lp/mm higher than the original image, furthermore, the improvement effect far from the central area is better than that of the central area. The compressed sensing reconstruction can improve image contrast ratio on the edge of image, thus, the static spatial resolution of the image is improved.