A phenomenological study for determining the chirality structure in lepton-flavor-violating Higgs (hLFV) decays at the LHC is presented. We estimate the effects of the polarization in the analysis. We find that the sensitivity would be generically affected up to in terms of the BR() upper bound. We further study the benchmark scenarios, and demonstrate the sensitivity study for the chirality structure. We find that the two fully polarized cases, the and scenarios consistent with the recently reported excess, are distinguishable at level for 1000 fb.