Properties of the chair doublet bands of the odd-odd Cs isotopes built on the πh11/2 υh11/2 configurationare investigated systematically within the supersymmetry scheme including many-body interactions and possessing theSO(5)(or SU(5)) symmetry on the rotational symmetry.Quantitatively good results of the energy spectra,the energystaggering parameter as a function of the spin are obtained.The calculation shows that the stronger competition betweenthe pairing and anti-pairing effects and the SU(3) symmetry broking more seriously exist in the stable chiral structure.