  We have investigated the effect of viscosity on the gluonic dissociation of
$J/\psi$ in an equilibrating plasma. Suppression of $J/\psi$ due to gluonic
dissociation depend on the temperature and also on the chemical equilibration
rate. In an equilibrating plasma, viscosity affects the temperature evolution
and also the chemical equilibration rate, requiring both of them to evolve
slowly compared to their ideal counter part. For Au+Au collisions at RHIC and
LHC energies, gluonic dissociation of $J/\psi$ increases for a viscous plasma.
Low $P_T$ $J/\psi$'s are found to be more suppressed due to viscosity than the
high $P_T$ ones. Also the effect is more at LHC energy than at RHIC energy.
