Inclusive jet production e+e- -> e+e- + jet + X is studied in collisions of quasi-real photons radiated by the LEP beams at e+e- centre-of-mass energies from 189 to 209 GeV. Jets are reconstructed using the kt jet algorithm. The inclusive differential cross-section is measured as a function of the jet transverse momentum, pt_jet, in the range 5 < pt_jet < 40 GeV for pseudo-rapidities, eta_jet, in the range -1.5 < eta_jet < 1.5. The results are compared to predictions of perturbative QCD in next-to-leading order in the strong coupling constant.