Fermilab-Tevatron. Measurement of the differential cross sections for the production of an isolated photon with an associated jet in PBAR P collisions at centre of mass energy 1.96 TeV. Photons are reconstructed in the central absolute rapidity region & lt; 1.0 and having PT in the range 30 to 400 GeV while the jets are reconstructed in either the central rapidity region & lt; 0.8 or in the forward absolute rapidity region 1.5 to 2.5 with jet energies & gt; 15 GeV. Differential cross sections and their ratios are tabulated for different regions differing by the relative orientations of the photon and the jet in rapidity. The data has an integrated luminosity of 1.0 fb-1.