We study the muon anomalous magnetic moment (g − 2) μ in the context of the reduced minimal 3-3-1 model recently proposed in the literature. In particular, its spectrum contains a doubly charged scalar (H ±± ) and gauge boson (U ±± ), new singly charged vectors (V ± ) and a Z boson, each of which might give a sizeable contribution to the (g − 2) μ . We compute the 1-loop contributions from all these new particles to the (g − 2) μ . We conclude that the doubly charged vector boson provides the dominant contribution, and by comparing our results with the experimental constraints we derive an expected value for the scale of SU(3) L ⊗ U (1) N symmetry breaking v χ ∼ 2 TeV. We also note that, if the discrepancy in the anomalous moment is resolved in the future without this model then the constraints will tighten to requiring v χ 3.7 TeV with current precision, and they will entirely rule out the model if the expected precision is achieved by the future experiment at Fermilab.