The latest measurements of the anomalous muon magnetic moment aμ ≡ (gμ-2)/2 show a 4.2σ discrep-ancy between the theoretical prediction of the Standard Model and the experimental observations.To account for such a discrepancy,we consider a possible extension of the type-(Ⅰ+Ⅱ) seesaw model for neutrino mass generation with a gauged Lμ-Lτ symmetry.By explicitly constructing an economical model with only one extra scalar singlet,we demonstrate that the gauge symmetry U(1)Lμ-Lτ and its spontaneous breaking are crucial not only for explaining the muon (g-2) result but also for generating the neutrino masses and leptonic flavor mixing.Various phenomeno-logical implications and experimental constraints on the model parameters are also discussed.