The branching ratio of the τ lepton to a neutral kaon meson is measured from a sample of approximately 200,000 τ decays recorded by the OPAL detector at centre-of-mass energies near the Z0 resonance. The measurement is based on two samples which identify one-prong τ decays with K0L and K0JS mesons. The combined branching rat ios are measured to be [≥1π0] where the first error is statistica l and the second systematic.