  We show that the $\mathinner{\mathrm{GeV}}$ scale $\gamma$-ray excess from
the direction of the Galactic Center can be naturally explained by the pair
annihilation of Abelian vector dark matter (VDM) into a pair of dark Higgs
bosons $VV \rightarrow \phi \phi$, followed by the subsequent decay of $\phi$
into $\phi \rightarrow b\bar{b} , \tau \bar{\tau} $. All the processes are
described by a renormalizable VDM model with the Higgs portal, which is
naturally flavor-dependent. Some parameter space of this scenario can be tested
at the near future direct dark matter search experiments such as LUX and
XENON1T.
