  In this paper we firstly study various model-independent bounds on lepton
flavor violation (LFV) in processes of $J/\Psi$, $\Psi'$ and $\Upsilon$
two-body decays, then calculate their branch ratios % By using the constraints
from other ways, we obtain %the indirect bounds of ${\rm Br}
(J/\Psi,\Psi',\Upsilon \to ll')$ in models of the leptoquark, $R$ violating
MSSM and topcolor assisted technicolor(TC2) models.
