In this thesis, by a survey of symmetry breaking, we investigate how the Higgs Mechanism is responsible for the inert mass of elementary particles. If we suppose that particles have masses as an intrinsic property, some Lagrangins in the theory, can’t be invariance under local gauge transformations. We explain how this hypothesis can solve those problems. We also give a brief review on the Non-Commutative Space-Time and the both versions of the Non-Commutative Standard Model or NCSM. One of them is based on Seiberg-Witten map. In this version all fields in the theory depend on the parameter of non-commutativity, while in the other one, there is no such dependency. There are many problems in both cases, At three level and quantum level and some of them haven’t been completely removed. For example in Seiberg-Witten map the theory can not be renormalized for more than one loop corrections, Or in general the IR/UV mixing is an intrinsic feature of none commutative field theories. There are also some problems with the extra gauge fields, charge quantization and the no-go theorem. In the Seiberg-Witten map, that we have used in this thesis instead of Lie algebra, Enveloping algebra has been used, which is more expanded. But by use of that algebra, many unknown parameter would appear that at first can’t be determined. To solve this problem Seiberg and Witten expanded the boson and fermion wave-functions by use of non-commutative parameter and could determine those unknown constants. Electroweak actions apart from the Higgs interactions, has been already studied in NC Standard Model by others. Here we would like to elucidate those Higgs interactions and their vertices by considering the Higgs and Yukawa actions. The obtained results can be divided into three major categories. The first one includes those interactions that already exist in the ordinary standard model and Non-Commutative Space-Time adds corrections from the first to infinite order of the NC parameter. the second category denotes the interactions which are exclusive to the NC standard model. Among them the decay of Z to two Higgs particles is important and we use this interaction to put the lower limit for NC energy scale. We obtain the order of tenTeV for this energy scale, which is one of the highest estimated values. Finally the third category belongs to interactions that at first sight are supposed to have a none-zero vertex factor, because of their appearance in the initial action, but they can be cancelled out and at last their vertex factors would be zero. Keywords: Higgs, Non-Commutative Space-Time, Symmetry breaking, Renormalizable, Seigberg-Witten map, Standard model, Vertex factor.