in this thesis, we study two kind of nonrelativistic conformal symmetry, Schr?dinger symmetry and Galilean Conformal Algebra. After obtaining the two point correlation function for a theory with Schr?dinger symmetry, by using AdS/CFT correspondence we obtain the two point correlation function for fields of space which metric of this space is invariant under schrodinger symmetry and we observe that this two kind of two point correlation functions have the same form. Also for generators of galilian conformal symmetry which obtain with contraction of relativistic conformal group, we observe that these generators are the same form of killing vectors on the AdS boundery.