  The $\mu\nu$SSM is a highly predictive alternative model to the MSSM. In
particular, the electroweak sector of the model can explain the longstanding
discrepancy between the experimental result for the anomalous magnetic moment
of the muon, $(g-2)_\mu$, and its Standard Model prediction, while being in
agreement with all other theoretical and experimental constraints. The recently
published MUON G-2 result is within $0.8\,\sigma$ in agreement with the older
BNL result on $(g-2)_\mu$. The combined result was announced as $a_\mu^{\rm
exp} = (11659206.1 \pm 4.1) \times 10^{-10}$, yielding a new deviation from the
Standard Model prediction of $\Delta a_\mu = (25.1 \pm 5.9) \times 10^{-10}$,
corresponding to $4.2\,\sigma$. Using this improved bound we update the
analysis in the $\mu\nu$SSM as presented in Ref. [1] and set new limits on the
allowed parameters space of the electroweak sector of the model. We conclude
that significant regions of the model can explain {the new} $(g-2)_\mu$ data.
