  Detecting the cosmic rays, in particular gamma-ray, coming from the dark
matter annihilation or decay is an indirect way to survey the nature of the
dark matter. In the commutative space-time, the annihilation of the dark matter
candidates (WIMPs) to photons proceeds through loop corrections. However, it is
possible for WIMPs as well as the other standard model singlet particles to
couple with photons directly in the noncommutative space-time. In this paper,
we study two-photon annihilation of singlet WIMPs in the noncommutative
space-time. If the noncommutative interactions are relevant to the relic
abundance, one can exclude some dark matter masses using Fermi-Lat data.
