According to the characteristic of the photometric curve, the curve matching algorithm in spectral domain is applied to the field of photometry and the demand of satellite shape inversion matching algorithm based on the photometric curve characteristic is resolved. The main principle of inversion method is introduced, the spectral angle match-spectral information divergence (SAM-SID) is designed through SAM and SID, and the threshold is confirmed, making the success rate better than 93%. Finally, the applicability and robustness of the algorithm is tested by the measured data of Xinglong Station. Experimental results show that the cylinder satellite inversion data, which can not be matched by SAM and SID algorithms, can be matched by the SAM-SID algorithm. The SAM-SID algorithm is applicable to the shape inversion of the cylinder, cube and sphere satellites. Compared with SAM and SID algorithms, the results of SAM-SID algorithm are more intuitive, and the applicability and robustness are much stronger.