We investigate the muon anomalous magnetic moment in the context of the supersymmetric version of the economical 3-3-1 model. We compute the 1-loop contribution of super-partner particles. We show that contribution of superparticle loop becomes significant when tan gamma is large. We investigate for both small and large values of $tan gamma$. We find the region of the parameter space where the slepton masses are of a few hundreds GeV is favour by the muon g-2 for small tan gamma (tan gamma sim 5 ). Numerical estimation gives the mass of supersymmetric particle, the mass of gauginos m_G sim 700 GeV and light slepton mass m_{tilde{L}} is of order O (100) GeV. When tan{gamma} is large (tan{gamma} sim 60), the mass of charged slepton m_{tilde{L}} and the mass of gauginos m_Gsim O(1) TeV while the mass of sneutrino sim 450 GeV is in the reach of LHC.
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