The lepton flavor violating decay of the Standard Model-like Higgs (LFVHD) is discussed in the framework of the radiative neutrino mass model built in cite{Kenji}. The branching ratio (BR) of the LFVHD are shown to reach $10^{-5}$ in the most interesting region of the parameter space shown in cite{Kenji}. The dominant contributions come from the singly charged Higgs mediations, namely the coupling of $h^pm_2$ with exotic neutrinos. Furthermore, if doubly charged Higgs is heavy enough to allow the mass of $h^pm_2$ around 1 TeV, the mentioned BR can reach $10^{-4}$. Besides, we have obtained that the large values of the Br$(hrightarrowmutau)$ leads to very small ones of the Br$(hrightarrow etau)$, much smaller than various sensitivity of current experiments.