  We consider lepton flavor violating Higgs decay, specifically $h \to
\mu\tau$, in a leptoquark model. We introduce two scalar leptoquarks with the
$SU(3)_c \times SU(2)_L \times U(1)_Y$ quantum numbers, $(3,2,7/6)$ and
$(3,2,1/6)$, which do not generate the proton decay within renormalizable
level. They can mix with each other by interactions with the standard model
Higgs. The constraint from the charged lepton flavor violating process,
$\tau^{-} \to \mu^{-} \gamma$, is very strong when only one leptoquark
contribution is considered. However, we demonstrate that significant
cancellation is possible between the two leptoquark contributions. We show that
we can explain the CMS (ATLAS) excess in $h \to \mu \tau$. We also show that
muon $(g-2)$ anomaly can also be accommodated.
