  We show that under current experimental bound of the decays $e_a\rightarrow
e_b\gamma$, the recent experimental data of the muon anomalous magnetic dipole
moment $(g-2)_{\mu}$ can be explained in the framework of the 3-3-1 model with
right handed neutrinos. In addition, all of these branching ratios can reach
closely the recent experimental upper bounds.
