We construct a Hartree-Fock-Bogoliubov (HFB) Hamiltonian Haldane-sphere and study excitation spectra and ground-state properties in bilayer ν=2 QH systems. It is found that the HFB approximation can systematically give SU (2) symmetrical excitation spectra spectra well agree with those from exact diagonalization calculations in large tunneling-energy region. In this region, has been considered to be a pseudospin-squeezed ground state is favored theory.