The ¹⁹⁷Au(n,γ) ¹⁹⁸Au reaction cross-sections at the neutron energies of 1.12,2.12,3.12 and 4.12 MeV were determined by using activation and off-line γ-ray spectrometric technique. The mono-energetic neutron energies of 1.12–4.12MeV were generated from the ⁷Li(p,n) reaction by using the proton energies of 3 and 4MeV from the folded tandem ion beam accelerator (FOTIA) at BARC as well as 5 and 6MeV from the Pelletron facility at TIFR, Mumbai. The ¹¹⁵In(n,γ)¹¹⁶m In reaction cross-section was used as the neutron flux monitor. The ¹⁹⁷Au(n,γ)¹⁹⁸Au reaction cross-section at the neutron energies of 3.12 and 4.12MeV are reported for the first time. The ¹⁹⁷Au(n,γ) ¹⁹⁸Au reaction cross-sections at 1.12 and 2.12MeV are close to the literature data of in between neutron energies. The ¹⁹⁷Au(n,γ) ¹⁹⁸Au cross-section was also  calculated theoretically by using the computer code TALYS 1.6 and found to be higher than the experimental data of present work and literature data within the neutron energies of 0.8 to 4MeV.