  The muon anomalous magnetic moment is discussed within the model based on the
$SU(2)_L\times SU(2)_R\times U(1)_{B-L}$-gauge group. The contributions of the
neutrinos having the dipole magnetic moment (DMM) are calculated. The cases of
the Majorana and Dirac neutrino are considered. It is shown that to account for
the $(g-2)_{\mu}$ anomaly DMMs connected with heavy neutrinos should be on the
order of $\mbox{few}\times10^{-8}\mu_B$, that is at variance with the
theoretically predicted values.
