  The contributions of the neutral top-pion $\pi_{t}^{0}$ and the non-universal
gauge boson $Z'$ predicted by topcolor scenario to the lepton flavor violating
$(LFV)$ semileptonic $\tau$ decays $\tau\to lP(V)$ $(P=\pi^{0}, \eta, \eta' $
and $ V=\rho^{0}, \phi)$ are discussed. We find that the contributions of $Z'$
to these decay processes are generally larger than those from $\pi_{t}^{0}$.
$\pi_{t}^{0}$ can only make the value of the branching ratio $Br(\tau\to lP)$
in the range of 1$\times10^{-11}$ $\sim$ 1$\times10^{-16}$, which is far below
the sensitivity of foreseeable experiments. With reasonable values of the free
parameters, the non-universal gauge boson $Z'$ can make the value of the
branching ratio $Br(\tau^{-}\to \mu^{-}\phi)$ reach 1$\times10^{-7}$, which
might approach the observable threshold of near-future experiments.
