The ⁹⁶Zr(γ, η)⁹⁵Zr reaction cross-section was experimentally determined at end point bremsstrahlung energies of 10 and 12.5MeV using off-line γ-ray spectrometric technique. The cross-section increases sharply from the end point energy of 10 to 12.5MeV, which indicates the role of excitation energy. The reaction crosssection as a function of photon energy was also calculated theoretically using the TALYS 1.2 computer code. The flux weighted average value of the ⁹⁶Zr(γ, η)⁹⁵Zr reaction cross-section for the end-point bremsstrahlung energies of 10 and 12.5MeV was also calculated using the experimental and theoretical data of mono-energetic photons to compare with the present data. The cross-section given in the present work at end- point bremsstrahlung energy of 10MeV is closer to the flux-weighted value of TALYS but higher than the literature data. On the other hand, at 12.5MeV, it is higher than the flux weighted value of TALYS and the literature data.