  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_G\sim O(1) TeV while
the mass of sneutrino \sim 450 GeV is in the reach of LHC.
