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Abstract The new experiment data of muon g − 2 is reported by the workers at Fermilab National Accelerator Laboratory (FNAL). Combined with the previous Brookhaven National Laboratory (BNL) E821 result, the departure from the standard model prediction is about 4.2σ. It strengthens our faith in the new physics. U(1) X SSM is the U(1) extension of the minimal supersymmetric standard model, where we study the electroweak corrections to the anomalous magnetic dipole moment of muon from the one-loop diagrams and some two-loop diagrams possessing important contributions. These two-loop diagrams include Barr-Zee type, rainbow type and diamond type. The virtual supersymmetric particles in these two-loop diagrams are chargino, scalar neutrino, neutralino, scalar lepton, which are supposed not very heavy to make relatively large corrections. We obtain the Wilson coefficients of the dimension 6 operators inducing the anomalous magnetic dipole moment of muon. The numerical results can reach 25 × 10 −10 and even larger.