has been primarily used to constrain the gluon content of the proton. The data at high y are particularly useful as it probes high x at lower Q values where the contribution of physics beyond the Standard Model, if any, is negligible. Due to the higher center of mass energy and much larger integrated luminosity, Run II jet measurements extend the jet spectrum to higher jet p$_{T}$ compared to the Run I measurements, by approximately 200 GeV /c . Both collaborations implemented an improved jet clustering algorithm. The jet clustering algorithms used in Run II are IR/collinear safe at least to the order of the available pQCD calculations. An accurate determination of the calorimeter response from the p ¯ p data and also a refinement in the techniques to determine the jet energy scale have lead to reduced uncertainty compared to Run I. In previous inclusive measurements, the hadronization effects were ignored as they were much smaller than both the experimental and theoretical uncertainties. In Run II, both collaborations have evaluated the effect of hadronization and corrected the parton level pQCD calculation. In addition, the pQCD calculations are corrected for the energy from the underlying event, determined using tuned event generators. In contrast, in Run I energy from the underlying event was removed from jets in data. The CDF collaboration measured the inclusive jet cross section using the cone cluster- ing [46] with cone size R = 0 . 7 and the k$_{T}$ clustering algorithm with D = 0 . 5 , 0 . 7 and 1.0 [47]. The DØ collaboration has recently published the inclusive jet cross section [48] using cone clustering algorithm with cone size R = 0 . 7. These three measurements are described below. The DØ collaboration analyzed 0.7 fb − 1 of data taken during 2004 − 2005 to measure the inclusive jet cross section for p$_{T}$ > 50 GeV /c in six rapidity bins, | Δ y | = 0 . 4 wide, over the range 0 < | y | < 2 . 4. The data were collected by triggering on a jet passing a p$_{T}$ threshold. Six triggers with p$_{T}$ thresholds of 15, 25, 45, 65, 95, and 125 GeV /c were used to collect data. Due to high production rates, only predetermined fractions of the lower threshold triggers were recorded. The efficiency for triggering on jet events was measured using data collected A. Measurement using Cone Clustering Algorithm 1. DØ Collaboration 16