In this thesis we will first study the standard model in ordinary space, then noncommutative space-time and the standard model in this space are discussed. In this framework, there are two approaches. In the first one, the symmetry group is , which can be reduced to the standard model group via two spontaneous symmetry breaking. In the second approach, the symmetry group is similar to the group in the ordinary standard model. meanwhile, the NC-fields through the Seiberg-Witten maps. Following we generalize the standard model Higgs in doublet and singlet and finally we will calculate cross section of processes in NC space-time and will compare limit on NC scale with result of the paper of dark matter.