Di-jet production is studied in collisions of quasi-real photons radiated by the LEP beams at e ++ e −− centre-of-mass energies s√ee=161see=161 and 172 GeV. The jets are reconstructed using a cone jet finding algorithm. The angular distributions of direct and double-resolved processes are measured and compared to the predictions of leading order and next-to-leading order perturbative QCD. The jet energy profiles are also studied. The inclusive di-jet cross-section is measured as a function of EjetTETjet and |ηjet||ηjet| and compared to next-to-leading order perturbative QCD calculations. The inclusive di-jet cross-section as a function of |ηjet||ηjet| is compared to the prediction of the leading order Monte Carlo generators PYTHIA and PHOJET. The Monte Carlo predictions are calculated with different parametrisations of the parton distributions of the photon. The influence of the ‘underlying event’ has been studied to reduce the model dependence of the predicted jet cross-sections from the Monte Carlo generators.