For the first time the production of prompt photons has been studied in
the collisions of quasi-real photons at LEP. The OPAL data taken at 
e$^+$e$^-$
centre-of-mass energies between 183 and 209 GeV have been used. The total
inclusive production cross-section for isolated prompt photons in the
kinematic range of transverse momentum $P_T > 3.0$~GeV and pseudorapidity
$|\eta|<1$ has been determined.  Differential cross-sections have been
measured as a function of the produced photons's transverse momentum,
pseudorapidity and of the variable $x_{LL}$ which is related to the fraction
of the initial photon's momenta participating in the hard interaction. The
results are compared to the leading order predictions of PYTHIA and to a
next-to-leading order (NLO) calculation.