  For the first time at LEP the production of prompt photons is studied in the
collisions of quasi-real photons using the OPAL data taken at e+e-
centre-of-mass energies between 183 GeV and 209 GeV. The total inclusive
production cross-section for isolated prompt photons in the kinematic range of
photon transverse momentum larger than 3.0 GeV and absolute photon
pseudorapidity less than 1 is determined to be 0.32 +- 0.04 (stat) +- 0.04
(sys) pb. Differential cross-sections are compared to the predictions of a
next-to-leading-order (NLO) calculation.
