  We have searched for lepton flavor violating decays of the tau lepton with
one or two KS0 mesons in the final state. The data used in the search were
collected with the CLEO II and II.V detectors at the Cornell Electron Storage
Ring (CESR) and correspond to an integrated luminosity of 13.9 fb^-1 at the
Upsilon(4S) resonance. No evidence for signals were found, therefore we have
set 90% confidence level (C.L.) upper limits on the branching fractions B(tau
-> e KS0) < 9.1e-7, B(tau -> mu KS0) < 9.5e-7, B(tau -> e 2KS0) < 2.2e-6, and
B(tau -> mu 2KS0) < 3.4e-6. These represent significantly improved upper limits
on the two-body decays and first upper limits on the three-body decays.
