  The statistical properties of Charmonium energy spectrum determined by the
Bethe-Salpeter equation are investigated. It is found that the regular motion
of the $c\bar{c}$ system can be expected at a small value of color screening
mass but the chaotic motion at a large one. It is shown that the level mixing
due to color screening serves as a new mechanism resulting in the J/$\psi$
suppression. Moreover, this kind of suppression can occur before the color
screening mass reaches its critical value for J/$\psi$ dissociation. It implies
that a strong J/$\psi$ suppression is possible in the absence of dissociation
of J/$\psi$.
