Based on random matrix theory and reduced BS equation, it is found that the
regular motion of c (c) over bar system can be expected at a small value o
f color screening mass but the chaotic motion at a large one. It is shown t
hat the level mixing due to color screening serves as a new mechanism resul
ting in J/psi suppression. Moreover, this kind of suppression can occur bef
ore the color screening mass reaches its critical value for J/psi dissociat
ion. In addition, it is implied that a strong J/psi suppression is possible
in the absence of dissociation of J/psi.