  We study the states of $c\bar{c}$ and $b\bar{b}$ system in a non-relativistic
a spin dependent potential model at finite temperature. The potential
incorporate color screening effect through a parameter $\mu$. The parameter
$\mu$ along with strong coupling constant $\alpha_s$ and string tension
$\sigma$ are taken temperature dependent and their values are fitted to the
Lattice data of quark anti-quark potential available at different values of
temperature. The applied potential include spin-spin, spin-orbital, tensor
interactions which allow us to study spin singlet and triplet states of
quarkonia. By solving non-relativistic Schr{\"o}dinger equation, we find the
spectrum of quarkonium states at different temperature and also determine the
critical temperature at which each state is dissolved. We find the critical
temperature is decreased with orbital and radial excitations, however, for spin
singlet and triplet states it remains same.
