The 1-meter C-SAR 01 satellite (C-SAR), launched on November 23, 2021, is a C-band high-resolution synthetic aperture radar (SAR) satellite launched by China, similar to Gaofen-3. The images acquired by this satellite are widely used to study land and marine resources. Geometric positioning accuracy is an important index to evaluate the quality of SAR images. In this study, we aimed to evaluate the positioning accuracy of L1A standard products of the C-SAR satellite and determined possible improvements. We used the high-precision calibrator equipment of the Zhongwei calibration field as the checkpoint to evaluate the positioning accuracy of the five image modes of the C-SAR satellite: FSI, FSII, QPSI, QPSII, and SS. Additionally, we used a series of accuracy improvement methods, including azimuth time correction under the “stop-and-go” approximation, atmospheric propagation delay correction, and geometric calibration for the error source of the whole positioning link. We evaluated the positioning accuracy of the improved images. The test results showed that the positioning accuracy of the C-SAR satellite images can be improved to approximately 4 m.