Abstract：The geometry optimizations of C~6~0^2^- singlet and triplet have been performed by INDO series methods and the D~2~h symmetry structures have been obtained. It illustrates that the Jahn-Teller distortions have happened for C~6~0^2^- singlet and triplet definitely. It induces the double bonds become longer, 15 kinds of bonds and 9 kinds of different atoms have been formed. The extra negative charges distribute near the equator mostly. On the base of the geometries, the electronic spectra of C~6~0^2^- have been calculated which is in agreement with the experimental value. The spectra have been assigned theoretically and the nature of red shift has been discussed.