  The Fermi-Lab Collaboration has announced the results for the measurement of
muon anomalous magnetic moment. Combining with the previous results by the BNL
experiment, we have $4.2 \sigma$ deviation from the Standard Model (SM), which
strongly implies the new physics around 1 TeV. To explain the muon anomalous
magnetic moment naturally, we analyze the corresponding five Feynman diagrams
in the Supersymetric SMs (SSMs), and show that the Electroweak Supersymmetry
(EWSUSY) is definitely needed. We realize the EWSUSY in the Minimal SSM (MSSM)
with Genernalized Mininal Supergravity (GmSUGRA). We find large viable
parameter space, which is consistent with all the current experimental
constraints. In particular, the Lightest Supersymmetric Particle (LSP)
neutralino can be at least as heavy as 550 GeV. Most of the viable parameter
space can be probed at the future HL-LHC, while we do need the future HE-LHC to
probe some viable parameter space. However, it might still be challenge if
R-parity is violated.
