"Ince Gauss beams are studied. They are characterized by ellipticity-parameter, On consideration of characteristics of the IGBs, and taking into account that it is a continuous basis of the SU(2), a representation of the Wigner function for the IGBs, that will depend on the quadrature operators and on the coefficients between families GB, is obtained. Also, a Bell inequality-representation (CHSH)-inequality is proposed. In this thesis, the value for the CHSH Bell-type inequality, for different order of the IGBs, and for different values of the ellipticity are proposed. In all cases, Bell inequality is violated."