Recent QCD measurements obtained by the CDF Collaboration at the
Tevatron in p anti-p collisions at s**(1/2) = 1.96 TeV are presented.  Results on
inclusive jet physics are first reported.  They include the measurement of
the inclusive jet production cross section, a phenomenological study of the
underlying event and the measurement of the jet shapes.  Some specific
processes of interest are then discussed.  The measurements of W + jets,
gamma gamma and gamma + heavy flavor productions are presented.  Finally,
the diffractive physics program is approached with reports on the
measurements of the diffractive structure function and on the searches for
exclusive final states.