In this work, we analyse the positive parity of states of odd-mass nucleus within the framework of interacting boson-fermion model. The result of an IBFM-1 multilevel calculation with the 2d 5/2 , 1g 7/2 , 3s 1/2 , 2d 3/2 and 1h 11/2 , single particle orbits is reported for the positive parity states of the odd-mass nucleus 125−129 Xe. Also, an IBM-1 calculation is presented for the low-lying states in the even-even 124−128 Xe core nucleus. The energy levels and B(E2) transition probabilities were calculated and compared with the experimental data. It was found that the calculated positive parity low-spin state energy spectra of the odd-mass 125−129 Xe isotopes agree quite well with the experimental data.