Results on recent QCD measurements performed at the Tevatron
p anti-p Collider at s**(1/2) = 1.96 TeV are here reported. The inclusive jet
and dijet mass cross sections are compared to NLO pQCD calculations and to
Run I results. The production rates and kinematic properties of W + jets
production processes are compared to "enhanced" LO theoretical predictions.
Non-perturbative "soft" interactions leading to the underlying event are
studied and compared to QCD Monte Carlo phenomenological models.