Jitter is an inherent phenomenon of on-orbit satellite platforms and is a difficult issue concerning high-resolution earth observation satellites. With respect to ZY3-02 platform's jitter, herein, we propose a phase-correlation registration algorithm based on symmetrical energy distribution. Combining the installation relation among charge-coupled devices at different spectral bands in the multi-spectral camera and considering the linearly smoothing motion characteristics of the satellite platform, we obtain a linear-fitted jitter curve using a quadratic function to eliminate system variation. Finally, satellite attitude data filtered from star tracker and gyro data are used to verify the obtained curve. Experimental results demonstrate that the matching accuracy of the proposed algorithm can reach 0.05 pixel using the simulated data, and thus it can effectively assist in the jitter detection of satellite platforms. Using the proposed method, jitter with the amplitude of 0.41″-1.12″ at the frequency of 0.63-0.65 Hz is detected in the ZY3-02 satellite platform for the first time.