  We show that the anomalous magnetic moment experimental data of muon and
electron $(g-2)_{\mu,e}$ can be explained simultaneously in simple extensions
of the 3-3-1 models consisting of new heavy neutrinos and a singly charged
Higgs boson. The heavy neutrinos generate active neutrino masses and mixing
through the general seesaw mechanism. They also have non-zero Yukawa couplings
with singly charged Higgs bosons and right-handed charged leptons, which result
in large one-loop contributions known as \emph{chirally-enhanced} ones.
Numerical investigation confirms a conclusion indicated previously that these
contributions are the key point to explain the large $(g-2)_{\mu,e}$ data,
provided that the inverse seesaw mechanism is necessary to allow both
conditions that heavy neutrino masses are above few hundred GeV and non-unitary
part of the active neutrino mixing matrix must be large enough.
