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We propose to implement the Natural Flavor Conservation criterion in the twoHiggs doublet model (2HDM) to an extra U(1)_H gauge symmetry for Higgs flavor,assuming two Higgs doublets carry different U(1)_H charges. Then one can easilyavoid the tree level FCNC from neutral Higgs mediations using local gaugesymmetries, instead of softly broken ad hoc Z_2 symmetry, and the pseudoscalarboson could be eaten by extra Z_H boson. Imposing the anomaly cancellation, wefind that the U(1)_H in the Type-II and Type-IV 2HDM's become leptophobic andleptophilic, respectively. For the Type-I case, U(1)_H depends on twoparameters, and some simple cases include U(1)_H = U(1)_{B-L}, U(1)_R, orU(1)_Y. We sketch qualitative phenomenology of these models.

A Resolution of the Flavor Problem of Two Higgs Doublet Models with an Extra U(1)_H Symmetry for Higgs Flavor