The lepton flavor violating decay of the Standard Model-like Higgs boson (LFVHD) is discussed in the framework of the radiative neutrino mass model built in [K. Nishiwaki, H. Okada, and Y. Orikasa, Phys. Rev. D 92, 093013 (2015)]. The branching ratio (BR) of the LFVHD is shown to reach $10^{−5}$ in the most interesting region of the parameter space shown in [K. Nishiwaki, H. Okada, and Y. Orikasa, Phys. Rev. D 92, 093013 (2015)]. The dominant contributions come from the singly charged Higgs mediations, namely, the coupling of $h_
2$ with exotic neutrinos. Furthermore, if the doubly charged Higgs boson is heavy enough to allow the mass of $h^
2$ around 1 TeV, the mentioned BR can reach $10^{−4}$. In addition, we obtain that the large values of $Br(h → μτ)$ lead to very small ones of $Br(h → eτ)$, much smaller than the various sensitivities of current experiments.