  We analyze the lepton flavor violating decays $\tau\rightarrow Pl$
($P=\pi,\eta,\eta';\;l=e,\mu$) in the scenario of the minimal R-symmetric
supersymmetric standard model. The prediction on the branching ratios
BR$(\tau\rightarrow P e)$ and BR$(\tau\rightarrow P \mu)$ is affected by the
mass insertion parameters $\delta^{13}$ and $\delta^{23}$, respectively. These
parameters are constrained by the experimental bounds on the branching ratios
BR($\tau\rightarrow e (\mu) \gamma$) and BR($\tau\rightarrow 3e(\mu)$). The
result shows $Z$ penguin dominates the prediction on BR($\tau\rightarrow Pl$)
in a large region of the parameter space. The branching ratios for
BR($\tau\rightarrow Pl$) are predicted to be, at least, five orders of
magnitude smaller than present experimental bounds and three orders of
magnitude smaller than future experimental sensitivities.
