We investigate the phenomenology of an extension of the Standard Model (SM) by a non-Abelian gauge group SU(2)(HS) where all SM particles are singlets under this gauge group, and a new scalar representation phi that is singlet under SM gauge group and doublet under SU(2)(HS). In this model, the dark matter (DM) candidates are the three mass-degenerate dark photons A(i) (i = 1, 2, 3) of SU(2)(HS), and the hidden sector interacts with the (SM) particles through the Higgs portal interactions. Consequently, there will be a new CP-even scalar. that could be either heavier or lighter than the SM-like Higgs. By taking into account all theoretical and experimental constraints such as perturbativity, unitarity, vacuum stability, non-SM Higgs decays, DM direct detection, and M relic density, we found viable DM is possible in the range from GeV to TeV. Within the viable parameters space, both of the triple Higgs coupling and the di-Higgs production at LHC14 could be enhanced or reduced depending on the scalar mixing and the mass of the scalar particle eta.