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