Annihilating dark matter (DM) models based on a scalar hidden sector with Higgs portal-like couplings to the standard model are considered as a possible explanation for recently observed cosmic-ray excesses. Two versions of the model are studied, one with nonthermal DM as the origin of the boost factor and one with Sommerfeld enhancement. In the case of nonthermal DM, four hidden sector scalars which transform under a U(1)X symmetry are added. The heaviest scalars decouple and later decay to DM scalars, thus providing the boost factor necessary to explain the present DM annihilation rate. The mass of the annihilating scalars is limited to 600GeV for the model to remain perturbative. U(1)X breaking to Z2 at the electroweak transition mixes light O(100) MeV hidden sector scalars with the Higgs. The DM scalars annihilate to these light scalars, which subsequently decay to two μ+μ- pairs via Higgs mixing, thus generating a positron excess without antiprotons. Decay to μ+μ- rather than e+e- is necessary to ensure a fast enough light scalar decay rate to evade light scalar domination at nucleosynthesis. In the version with Sommerfeld enhancement only three new scalars are necessary. TeV scale DM masses can be accommodated, allowing both the higher energy electron plus positron excess and the lower energy positron excess to be explained. DM annihilates to 2μ+μ - pairs as in the nonthermal model. This annihilation mode may be favored by recent observations of the electron plus positron excess by FERMI and HESS. © 2010 The American Physical Society.