The cross-sections for ⁸⁹Y(γ, n)88Y, ⁸⁹Y(γ, 2n)⁸⁷Y, ⁸⁹Y(γ, 3n)⁸⁶Y, and ⁸⁹Y(γ, 4n)⁸⁵Y reactions in the end-point bremsstrahlung energies of 45 and 55 MeV have been determined for the first time by an activation and an off-line γ-ray spectrometric techniques using the electron linear accelerator in Pohang accelerator laboratory. The photon-induced reaction cross-sections of ⁸⁹Y as a function of photon energy were calculated using the TALYS 1.4. The flux-weighted average cross-sections were obtained from the existing experimental data and the theoretical values of the TALYS 1.4 with the mono-energetic photons. The present results for ⁸⁹Y(γ, xn; x = 1–4) reactions are compared with the flux-weighted average values from the literature and those from the TALYS 1.4. It was shown that the ⁸⁹Y(γ, xn, x = 1–4) reaction cross-sections increase sharply from their threshold values to certain energies, where other reaction channels opens. Then it remains constant a while, where the next reaction channel increases. There after it decrease slowly with increase of bremsstrahlung energy due to opening of different reaction channels.