  In a supersymmetric extension of the standard model with local gauged baryon
and lepton numbers (BLMSSM), there are new sources for lepton flavor violation,
because the right-handed neutrinos, new gauginos and Higgs are introduced. We
investigate muon conversion to electron in nuclei within the BLMSSM in detail.
The numerical results indicate that the $\mu \rightarrow e $ conversion rates
in nuclei within the BLMSSM can reach the experimental upper bound, which may
be detected in the future experiments.
