It has been recently pointed out that the excess of the gamma ray spectrum in the Fermi Bubbles at low latitude can be well explained by the annihilation of dark matter particles. The best-fit candidate corresponds to the annihilation of a dark matter with mass of around GeV into with the cross section, cm/s, or the annihilation of a dark matter with mass of around GeV into a tau lepton pair with the cross section, cm/s. We point out that the Higgs portal dark matter models are perfectly compatible with this interpretation of the dark matter annihilation, satisfying other phenomenological constraints. We also show that the parameter region which reproduces the bet-fit values can be partly explored by the future direct dark matter search at the XENON1T.

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