  The one loop contribution to the lepton flavor violating decay
$h^0\rightarrow \mu\tau$ of the SM-like neutral Higgs (LFVHD) in the 3-3-1
model with neutral lepton is calculated using the unitary gauge. We have
checked in detail that the total contribution is exactly finite, and the
divergent cancellations happen separately in two parts of active neutrinos and
exotic heavy leptons. By numerical investigation, we have indicated that the
one-loop contribution of the active neutrinos is very suppressed while that of
exotic leptons is rather large. The branching ratio of the LFVHD strongly
depends on the Yukawa couplings between exotic leptons and $SU(3)_L$ Higgs
triplets. This ratio can reach $10^{-5}$ providing large Yukawa couplings and
constructive correlations of the $SU(3)_L$ scale ($v_3$) and the charged Higgs
masses. The branching ratio decreases rapidly with the small Yukawa couplings
and large $v_3$.
