We investigate the muon anomalous magnetic moment in the context of a supersymmetric version of the economical 3-3-1 model. We compute the 1-loop contribution of superpartner particles. We show that the contribution of superparticle loops become significant when tan gamma is large. We investigate the cases of both small and large values of tan gamma. We find the region of the parameter space where the slepton masses of a few hundred GeV are favored by the muon g-2 for small tan gamma (tan gamma a parts per thousand 5). Numerical estimation gives the mass of supersymmetric particles, the mass of gauginos m (G) a parts per thousand 700 GeV, and the light slepton mass of the order of O (100) GeV. When tan gamma is large (tan gamma a parts per thousand 60), the charged slepton mass and the gaugino mass m (G) are O(1) TeV, while the sneutrino mass a parts per thousand 450 GeV is in the reach of the LHC.
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