  We propose a pseudo-Nambu-Goldstone boson (pNGB) dark matter (DM) model based
on an additional non-Abelian gauge symmetry $SU(2)_D$. The gauge symmetry
$SU(2)_D$ is spontaneously broken to a global custodial symmetry $U(1)_V$ via
the nonvanishing vacuum expectation values of $SU(2)_D$ doublet and triplet
scalar fields. Due to the exact global symmetry $U(1)_V$, the lightest $U(1)_V$
charged particle becomes stable. We assume that the lightest charged particle
in the model is the charged complex pNGB, which we regard as DM. It avoids the
strong constraints from current DM direct detection experiments due to the
property of NGB. We find that the measured energy density of DM can be
reproduced when the DM mass is larger than the half of the Higgs mass, where
the lower limit generally comes from the constraint of DM invisible decay and
the upper limit from DM direct detection experiments depends on the model
parameters.
