  Taking into account the constraints of the present experimental limit of the
process $\mu\to e\gamma$ on the free parameters of topcolor-assisted
technicolor(TC2) models, we calculate the contributions of the neutral top-pion
to the lepton flavor violating(LFV) $Z$ decays $Z\to l_{i}l_{j}$. Our results
show that the value of the branching ratio $Br(Z\to \tau l)$ is larger than
that of $Br(Z\to \mu e)$ in all of the parameter space and there is $Br(Z\to
\tau\mu)\approx Br(Z\to \tau e)\simeq 2\times 10^{-14} $, which is far from the
reach of present or future experiments.
