  Di-jet producion is studied in collisions of quasi-real photons at e+e-
centre- of-mass energies sqrt(s)ee from 189 to 209 GeV at LEP. The data were
collected with the OPAL detector. Jets are reconstructed using an inclusive k_t
clustering algorithm for all cross-section measurements presented. A cone jet
algorithm is used in addition to study the different structure of the jets
resulting from either of the algorithms. The inclusive di-jet cross-section is
measured as a function of the mean transverse energy Etm(jet) of the two
leading jets, and as a functiuon of the estimated fraction of the photon
momentum carried by the parton entering the hard sub-process, xg, for different
regions of Etm (jet). Angular distribution in di-jet events are measured and
used to demonstrate the dominance of quark and gluon initiated processes in
different regions of phase space. Furthermore the inclusive di-jet
cross-section as a function of |eta(jet)| and |delta eta (jet)| is presented
where eta(jet) is the jet pseudo-rapidity. Different regions of the xg+ -xg-
-space are explored to study and control the influence of an underlying event.
The results are compared to next-to-leading order perturbative QCD calculations
and to the predictions of the leading order Monte Carlo generator PYTHIA.
