  We consider the contributions of both color-singlet and octet $c\bar c$ bound
states for studying the suppression of $J/\psi$ production in quark gluon
plasma (QGP) and have found that the existence of the color-octet $c\bar c$ may
cause the $p_T-$distribution of $J/\psi$ a decrease with $p_T$ after a critical
value $(p_T)_{max}$, which is quite different from the behavior in Hadronic
Matter (HM).
