The branching ratio of the tau lepton to a neutral kaon meson is measured f
rom a sample of approximately 200,000 tau decays recorded by the OPAL detec
tor at centre-of-mass energies near the Z(0) resonance. The measurement is
based on two samples which identify one-prong tau decays with K-L(0) and K-
S(0) mesons. The combined branching ratios are measured ed to be
B(tau(-) --> pi(-)(K) over bar(0)nu(tau)(9.33 +/- 0.68 +/- 0.49) x 10(-3)
B(tau(-) --> pi(-)(K) over bar(0)[greater than or equal to 1 pi(0)]nu(tau))
= (3.24 +/- 0.74 +/- 0.66) x 10(-3)
B(tau(-) --> (K-K0)[greater than or equal to 0 pi(0)]nu(tau)) = (3.30 +/- 0
.55 +/- 0.39) x 10(-3)
where the first error is statistical and the second systematic.