A contribution from new gauge bosons in the SU(3) C ⊗SU(3) L ⊗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(∼ 4 × 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.