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 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, x_gamma, for different regions of
. 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 x_gamma+ - x_gamma- 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.