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In the framework of the flipped 3-3-1 model introduced recently [1], thelepton-flavor-violating (LFV) decay $\mu \rightarrow 3e$ was predicted to havea large branching ratio (Br) close to the recent experimental limit. We willshow that the Br of LFV decays of the standard-model-like (SM-like) Higgs bosondecays (LFVHD) Br$(h\rightarrow e_ae_b)$ may also be large. Namely, theBr$(h\rightarrow \mu\tau,e\tau)$ can reach values of$\mathcal{O}(10^{-4})-\mathcal{O}(10^{-5})$, which will reach the upcomingexperimental sensitivities. On the other hand, for LFV decays of chargedleptons (cLFV) $(e_b\rightarrow e_a\gamma)$, the branching ratios are wellbelow experimental bounds.

Lepton flavor violating decays of the SM-like Higgs boson $h\rightarrow e_ie_j$, and $e_i \rightarrow e_j\, \gamma $ in a flipped 3-3-1 model