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The MSSM is extended to the $U(1)_X$SSM, whose local gauge group is $SU(3)_C\times SU(2)_L \times U(1)_Y \times U(1)_X$. To obtain the $U(1)_X$SSM, we addthe new superfields to the MSSM, namely: three Higgs singlets$\hat{\eta},~\hat{\bar{\eta}},~\hat{S}$ and right-handed neutrinos$\hat{\nu}_i$. It can give light neutrino tiny mass at the tree level throughthe seesaw mechanism. The study of the contribution of the two-loop diagrams tothe MDM of muon under $U(1)_X$SSM provides the possibility for us to search fornew physics. In the analytical calculation of the loop diagrams (one-loop andtwo-loop diagrams), the effective Lagrangian method is used to derive muon MDM.Here, the considered two-loop diagrams include Barr-Zee type diagrams andrainbow type two-loop diagrams, especially Z-Z rainbow two-loop diagram istaken into account. The obtained numerical results can reach$7.4\times10^{-10}$, which can remedy the deviation between SM prediction andexperimental data to some extent.

The two-loop contributions to muon MDM in $U(1)_X$ SSM