  A model for $J/\Psi$ suppression at a high energy heavy ion collision is
presented. The main (and the only) reason for the suppression is $J/\Psi$
inelastic scattering within hadron matter. The hadron matter is in the form of
an evolving multi-component point-like non-interacting gas. The estimations of
the sound velocity in the gas and the approximate pattern of cooling caused by
the longitudinal expansion are also presented. It is shown that under such
circumstances and with $J/\Psi$ disintegration in nuclear matter added,
$J/\Psi$ suppression evaluated agrees well with NA38 and NA50 data.
Additionally, some rough estimations of $J/\Psi$ suppression in hadron matter
described in the framework of the excluded volume gas model are given.
