  In a transient magnetic field, heavy quarkonium bound states evolve non
adiabatically. In presence of a strong magnetic field, $J/\Psi$ and
$\Upsilon(1S)$ become more tightly bound than we expected earlier for a pure
thermal medium. We have shown that in a time varying magnetic field, there is a
possibility of moderate suppression of $J/\Psi$ through the non adiabatic
transition to continuum where as the $\Upsilon(1S)$ is so tightly bound that
can not be dissociated through this process. We have calculated the
dissociation probabilities up to the first order in the time dependent
perturbation theory for different values of initial magnetic field intensity.
