We report on measurements of the inclusive jet production cross section as a function of the jet transverse momentum in pp collisions at s√=1.96  TeV, using the kT algorithm and a data sample corresponding to 1.0  fb−1 collected with the Collider Detector at Fermilab in run II. The measurements are carried out in five different jet rapidity regions with |yjet|<2.1 and transverse momentum in the range 54<700  GeV/c. Next-to-leading order perturbative QCD predictions are in good agreement with the measured cross sections.