We have studied the W + \geq n jets process in Tevatron Run II
experiment.  This is the first result for the CDF Run II experiment.  The
data used corresponds to a total integrated luminosity of 72 pb-1 taken
from Mar. 2002 through Jan. 2003.  The lowest order QCD predictions have
been tested with a new prescription of the parton-jet matching, which allows
to construct the enhanced LO phase space.  We found a good agreement between
data and theory in the typical kinematics distributions.  Number of events
for each inclusive samples up to 3 jets are compared with Monte Carlo
calculations.  The comparison with Run I results is also presented.