  We have studied a left-right symmetric model with mirror fermions based in a
grand unified SU(7) model in order to account for the muon anomaly. The Higgs
sector of the model contains two Higgs doublets and the hierarchy condition
$\upsilon_{L}\ll\upsilon_{R}$ can be achieved by using two additional Higgs
singlets, one even and other odd under
  $\mathcal{D}$-parity. We show that there is a wide range of values for the
mass parameters of the model that is consistent with the $g-2$ lepton
anomalies.
  Radiative correction to the mass of the ordinary fermions are shown to be
small.
