A bstract This paper presents combinations of inclusive and differential measurements of the charge asymmetry ( A C ) in top quark pair $$ \left(\mathrm{t}\overline{\mathrm{t}}\right) $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mfenced> <mml:mrow> <mml:mi>t</mml:mi> <mml:mover> <mml:mi>t</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:mrow> </mml:mfenced> </mml:math> events with a lepton+jets signature by the ATLAS and CMS Collaborations, using data from LHC proton-proton collisions at centre-of-mass energies of 7 and 8 TeV. The data correspond to integrated luminosities of about 5 and 20 fb −1 for each experiment, respectively. The resulting combined LHC measurements of the inclusive charge asymmetry are A C CHC7 = 0.005 ± 0.007 (stat) ± 0.006(syst) at 7 TeV and A C CHC8 = 0.0055 ± 0.0023 (stat) ± 0.0025 (syst) at 8 TeV. These values, as well as the combination of A C measurements as a function of the invariant mass of the $$ \mathrm{t}\overline{\mathrm{t}} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>t</mml:mi> <mml:mover> <mml:mi>t</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> system at 8 TeV, are consistent with the respective standard model predictions.