The contributions of G ′ -boson predicted by the chiral color symmetry of quarks to the differential dijet cross-sections in pp-collisions at the LHC are calculated and analysed in dependence on two free parameters of the model, the G ′ mass m G ′ and mixing angle θ G . The exclusion and consistency m G ′ − θ G regions imposed by the ATLAS and CMS data on dijet cross-sections are found. Using the CT10 (MSTW 2008) PDF set we show that the G ′ -boson for θ G = 45 • , i.e. the axigluon, with the masses m G ′ < 2.3 (2.6) TeV and m G ′ < 3. 35 (3.25) TeV is excluded at the probability level of 95% by the ATLAS and CMS dijet data respectively. For the other values of θ G the exclusion limits are more stringent. The m G ′ − θ G regions consistent with these data at CL = 68% and CL = 90% are also found.Keywords: New physics; chiral color symmetry; axigluon; massive color octet; G ′ -boson; dijet cross section.The search for the possible effects of new physics beyond the Standard Model (SM) is now one of the main goals of the experiments at the LHC. By now there are many models predicting new particles which can manifest themselves at the LHC energy through the possible new physics effects. Among such particles there are new quarks and leptons of the fourth generation of fermions, supersymmetric particles of the supersymmetry models, new scalar particles of two Higgs models, new gauge bosons of the weak left-right symmetry model, gauge and scalar leptoquarks of the four color quark-lepton symmetry models, etc. The unobservation of the new physics effects induced by these particles at the LHC will set new limits on the parameter of corresponding models.One of such models which also predict new particles and can induce the new physics effects at the LHC energy is based on the gauge group of the chiral color symmetry of quarkswhich is assumed to be valid at high energies and is spontaneously broken to usual QCD SU c (3) at some low energy scale M chc . The idea of the originally chiral character of SU