  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 $62$ GeV into $b \bar{b}$ with the cross
section, $\sigma v \simeq 3.3 \times 10^{-26}$ cm$^3$/s, or the annihilation of
a dark matter with mass of around $10$ GeV into a tau lepton pair with the
cross section, $\sigma v \simeq 5.6 \times 10^{-27}$ cm$^3$/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.
