  A contribution from new gauge bosons in the ${SU}(3)_C\otimes {SU}(3)_L
\otimes {U}(1)_N$ (3 - 3 - 1) models to the anomalous magnetic moments of the
muon is calculated and numerically estimated. In the minimal 3 - 3 - 1 model, a
lower bound on the bilepton mass at a value of 167 GeV is derived. For an
expected precision($\sim 4\times 10^{-10}$) of the BNL measurements the
possible lower bounds on masses of the bileptons in the minimal version and in
the version with right-handed neutrinos are around 940 GeV and 250 GeV,
respectively.
