The special seasonal glint phenomenon of solar arrays is caused by the special position kept by the three-axis stabilization geosynchronous earth orbit (GEO) satellite and the motion law of the solar arrays. Quantitative analysis about the theory of the phenomenon is made based on the bidirectional reflectance distribution function of the solar arrays materials and the sun movement in Earth centered coordinate. The characteristics of glint phenomenon are summed up and the conclusions are validated by simulation tests. The results indicate that, for any telescope on the ground, there are two durations one year to detect the glint phenomenon of solar arrays,in which each duration lasts about 21 days, and the detect time one day is about 32 minutes for each GEO satellites. The conclusions could not only provide references to detect GEO satellites, but also could be the basis to analyze the working state and motion state of GEO satellites.