Vector Charmonium-like States at BESIII

BESIII experiment is the only electron positron experiment working in the $\tau$-charm energy region in the world now, and on which the largest sample about Charmonium states has been taken.   The Charmonium-like states, which are hadron states beyond the naive quark model are studied with this sample, in the Charmonium plus light hadron, light hadron only and leptonic final states.