A search for single top quark production via flavour changing neutral current (FCNC) has been performed with data collected by the OPAL detector at LEP. Approximately 598.5 pb-1 of data collected at sqrt(s)=189-209 GeV were used to search for the FCNC process e+e- ->tc(u) -> bWc(u). This analysis is sensitive to the leptonic and the hadronic decay modes of the W boson. No evidence for such a process is observed. Upper limits at the 95% confidence level on the single top production cross-section as a function of the centre-of-mass energies are derived. Limits on the anomalous coupling parameters kappa_gamma and kappa_Z are determined from those results.