  The resonant excesses around 2 TeV reported by the ATLAS Collaboration can be
explained in the left-right model, and the tight constraints from lepton plus
missing energy searches can be evaded if the $SU(2)_R$ gauge symmetry is
leptophobic. We for the first time propose an anomaly free leptophobic
left-right model with gauge symmetry $SU(3)_C \times SU(2)_L \times SU(2)_R
\times U(1)_{X}$ where the SM leptons are singlets under $SU(2)_R$. The gauge
anomalies are cancelled by introducing extra vector-like quarks. The mass of
$Z^\prime$ gauge boson, which cannot be leptophobic, is assumed to be around or
above 2.5 TeV so that the constraint on dilepton final state can be avoided.
Moreover, we find that the $W^\prime \to WZ$ channel cannot explain the ATLAS
diboson excess due to the tension with the constraint on $W^\prime \to jj$
decay mode. We solve this problem by considering the mixings between the SM
quarks and vector-like quarks. We show explicitly that the ATLAS diboson excess
can be explained in the viable parameter space of our model, which is
consistent with all the current experimental constraints.
