  Interest in searches for Charged Lepton Flavor Violation (CLFV) has continued
in the past few decades since the observation of CLFV will indicate new physics
beyond the Standard Model (BSM). As several future lepton colliders with high
luminosity have been proposed, the search for CLFV will reach an unprecedented
level of precision. Many BSM models allow CLFV processes at the tree level,
such as the R-parity-violating (RPV) Minimal Supersymmetric Standard Model
(MSSM), which is a good choice for benchmark. In this paper, we perform a
detailed fast Monte Carlo simulation study on RPV-induced CLFV processes at
future lepton colliders, including a 240 GeV circular electron positron
collider (CEPC) and a 6 or 14 TeV muon collider. As a result, we found that the
upper limits on the $\tau$ related RPV couplings will be significantly
improved, while several new limits on RPV couplings can be set, which are
inaccessible by low-energy experiments.
