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 root s(ee) from 189 to 209 GeV. Jets are reconstructed using the k(perpendicular to) jet algorithm. The inclusive differential cross-section is measured as a function of the jet transverse momentum, p(T)(jet), in the range 5 < p(T)(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. (c) 2007 Elsevier B.V. All rights reserved.