Properties of the superdeformed bands of odd-odd nuclei in A ～ 80 mass region are investigated systematically within the supersymmetry scheme including many-body interactions and a perturbation possessing the S0(5)(or SU(5)) symmetry on the rotational symmetry. The obtained γ-ray energies, and the dynamical moments of inertia agree with experimental data. It shows that this approach is quite powerful in describing odd-odd nuclei in A ～ 80 mass region.