  We analyze the lepton flavor violating process $\mu-e$ conversion in the
framework of the minimal R-symmetric supersymmetric standard model. The
theoretical predictions are determined by considering the experimental
constraint on parameter $\delta^{12}$ from the lepton flavor violating decay
$\mu\rightarrow e \gamma$. The numerical results show that $\gamma$ penguins
and Z penguins dominate the predictions on CR($\mu-e$,Nucleus), and the
contributions from Higgs penguins and box diagrams are insignificant. The
theoretical predictions on conversion rate CR($\mu-e$,Nucleus) in a Al or Ti
target can be enhanced close to the future experimental sensitivities and are
very promising to be observed in near future experiment.
