This contribution reports on preliminary measurements of the
inclusive jet production cross section in p anti-p collisions at s**(1/2) = 1.96
TeV using data collected with CDF corresponding to an integrated luminosity
of 385 pb-1.  Two analyzes are presented: one uses the longitudinally
invariant K_T algorithm to reconstruct the jets, the other uses the midpoint
algorithm.  Both are limited to jets with rapi+dity in the range 0.1 <
|yjet| < 0.7.  The measured cross sections 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.