  We study hadron properties near the deconfining transition in the quenched
lattice QCD simulation. This paper focuses on the heavy quarkonium states, such
as $J/\psi$ meson. In order to treat heavy quarks at $T>0$, we adopt the $O(a)$
improved Wilson action on anisotropic lattice. We discuss $c\bar{c}$ bound
state observing the wave function and compare the meson correlators at above
and below $T_c$. Although we find a large change of correlator near the $T_c$,
the strong spatial correlation which is almost the same as confinement phase
survives even $T\sim 1.5T_c$.
