The Run 2 at Tevatron will define a new level of precision for QCD studies in hadron collisions. Both collider experiments, CDF and D0, expect to collect up to 15 fb[sup -1] of data in this new run period. The increase in instantaneous luminosity, center-of-mass energy (from 1.8 TeV to 2 TeV) and the improved acceptance of the detectors will allow stringent tests of the Standard Model (SM) predictions in extended regions of jet transverse energy, E[sub T][sup jet], and jet pseudorapidity, [eta][sup jet]. In the following, a review of some of the most important QCD results from Run 1 is presented, together with first preliminary Run 2 measurements (based on the very first data collected by the experiment) and future prospects as the integrated luminosity increases.

The inclusive jet cross section was measured by CDF at center of mass energies of 1800 and 630 GeV. At (square root)s =1800 GeV, the inclusive jet cross section is compared with NLO QCD predictions (with different sets of parton distribution functions) and with measurement by D0 Collaboration. Strong coupling constant is extracted (as a consistency check) from 1800 GeV inclusive jet data. The ratio of scaled inclusive jet cross sections measured at two values of (square root)s is compared with NLO QCD predictions. Comparison with D0 result is also shown.

We have studied events with a high-x{sub F} antiproton and two central jets with E{sub T}> 7 GeV in CDF, in p{anti p} collisions at (square root)s = 1800 GeV. We find an excess of events with a rapidity gap at least 3.5 units wide in the proton direction, which we interpret as di-jet production in double pomeron exchange events.

A measurement of W {yields} e{nu} + n-jet cross sections in p{bar p} collisions at {radical}s = 1.96 TeV using the Collider Detector at Fermilab in Run II (CDF II) is presented. The measurement is based on an integrated luminosity of 320 pb{sup -1}, and includes events with up to 4 or more jets. In each jet multiplicity sample the differential and cumulative cross sections with respect to the transverse energy of the i{sup th} jet are measured. For W+ {ge} 2 jets the differential cross section with respect to the 2-leading jets invariant mass m{sub j{sub 1}j{sub 2}} and angural separation {Delta} R{sub j{sub 1}j{sub 2}} is also reported. The data are compared to predictions from Monte Carlo simulations.

CDF (Collider Detector at Fermilab) is a full-coverage magnetic detector studying p{bar p} collisions at the √s = 1.8 TeV Tevatron Collider. The experiment has collected a handful of demonstration events towards the end 1985, and had its first significant run in spring 1987. Most of this run was operated with a 'buffet trigger', one stream of which was an inclusive large-E{sub t} trigger. Large E{sub t} (E{sub t} >50 GeV) events at the Tevatron show an increasingly dominant component with two or more hard jets. This thesis consists in an analysis of these jet events. The invariant cross-secton as a function of jet pair mass (M{sub jj}) is derived.

This contribution reports on preliminary measurements of the inclusive jet production cross section in p{bar p} collisions at √s = 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{sub T} algorithm to reconstruct the jets, the other uses the midpoint algorithm. Both are limited to jets with rapidity in the range 0.1