Cross sections for the ¹⁸O + ¹⁸O reactions (fusion, inelastic excitation and transfer reactions ) have been determined in the range 6.73 ≤ Ec.m ≤ 13.24 MeV by measuring the low- lying γ-ray transitions in the residual nuclei with a high resolution Ge detector. A statistical model calculation of the populations of the residual nuclear states was employed in deducing cross sections from the measured γ-yields. γ-ray angular distributions were determined at Elab = 20.0 MeV. The total fusion cross sections were compared with an IWBC calculation employing a parameter set obtained from fitting elastic scattering data. The interaction barrier shape has been obtained by means of the BKN inversion procedure and compared with the barriers for other oxygen isotopes. The inelastic scattering cross section and the two-neutron transfer reaction cross section are reproduced well by the DWBA approach.