A measurement of the Bs0?J/?? decay parameters using 80.5fb-1 of integrated luminosity collected with the ATLAS detector from 13 Te proton–proton collisions at the LHC is presented. The measured parameters include the CP-violating phase ?s, the width difference ? G s between the Bs0 meson mass eigenstates and the average decay width G s. The values measured for the physical parameters are combined with those from 19.2fb-1 of 7 and 8 Te data, leading to the following: ?s=-0.087±0.036(stat.)±0.021(syst.)rad?Gs=0.0657±0.0043(stat.)±0.0037(syst.)ps-1Gs=0.6703±0.0014(stat.)±0.0018(syst.)ps-1Results for ?s and ? G s are also presented as 68% confidence level contours in the ?s–? G s plane. Furthermore the transversity amplitudes and corresponding strong phases are measured. ?s and ? G s measurements are in agreement with the Standard Model predictions.