This contribution presents preliminary results on the inclusive
jet production in p anti-p collisions at s**(1/2) = 1.96 TeV.  The measurements
are carried out using the longitudinally invariant k_T algorithm.  The
inclusive jet cross sections are measured as a function of the jet
transverse momentum in five jet rapi+dity regions for jets in the ranges 54 <
p(t)jet < 700 GeV/c and |yjet| < 2.1.  The results are based on 1.0 fb-1
of data collected at CDF during the Run II of the Tevatron.  They are in
good agreement with next-to-leading order perturbative QCD predictions after
including the non-perturbative corrections necessary to account for
underlying event and hadronization effects.