In A ~ 130 mass region, the nuclei show many interesting phenomena like shape coexistence, MR bands, chiral bands and spin isomers. They are γ-soft in the ground state with triaxial deformation. The 134Ba nucleus has already studied for low-spin states and seen to be one of the best candidate for E(5) critical point symmetry . In the previous experimental study, the 10+, 5- and 7– isomeric states based on the configurations v[h_11/2^2} 10+ and v[s_1/2^1 h_11/2 ^1) 5- or (v[d3/2 h11/2]) 7- are also observed. The other isotone of N=78 have been already studied for the intermediate and high spin states. The 136Ce and 138Nd nuclei exhibit many dipole bands at their high spin states having different shapes and phenomena. Recently, the 132Xe and 133Xe nuclei are investigated through multinucleon-transfer in the AGATA array coupled to the magnetic spectrometer PRISAMA and the GAMMASPHERE array along with CHICO. In the first experiment, the 134Ba nucleus was populated using the reaction 124 Sn(13C, 3n) 134Ba at a beam energy of 48 MeV from the Pelletron accelerator at Tata Institute of Fundamental Research (TIFR), Mumbai. The 124Sn target of thickness 1.5 mg/cm 2 with the Au backing was used. The gamma-rays were detected using the Indian National Gamma Array (INGA). In the present study, the level scheme was extended upto a maximum spin of 20. In the intermediate excitation, three quadrupole bands were observed and the level of the gamma-band was re-confirmed at the low-excitation. In the second experiment, the alpha induced fusion evaporation reaction is used to explore the intermediate states of 132Xe in INGA spectrometer at VEEC, Kolkata using seven HPGe clover clover detectors and one LEPS segmented detector. Both the nuclei (134Ba and 132Xe) have shown similar structure at low and intermediate spin. The theoretical calculations to understand these bands are in progress.