  Motivated by the tension between the Higgs mass and muon g-2 in minimal
supersymmetric standard model (MSSM), we analyze the muon g-2 in supersymmertic
B-L extension of the standard model (BLSSM) with inverse seesaw mechanism. In
this model, the Higgs mass receives extra important radiative corrections
proportional to large neutrino Yukawa coupling. We point out that muon g-2 also
gets significant contribution, due to the constructive interferences of light
neutralino effects. The light neutralinos are typically the MSSM Bino like and
the supersymmetric partner of U(1)_B-L gauge boson (B'-ino). We show that with
universal soft supersymmetry breaking terms, the muon g-2 resides within 2
sigma of the measured value, namely ~17 x 10^-10, with Higgs mass equal to 125
GeV .
