Recent measurements of jet and multijet production cross sections
from p anti-p collisions recorded with the Collider Detector at Fermilab (CDF)
are summarized.  First Run II results of the inclusive one jet cross section
at s**(1/2) = 1.96 TeV as well as prospects for future extensions of this
measurement are presented.  We also studied the properties of three-jet
events in Run Ib data at s**(1/2) = 1.8 TeV.  All results are compared to
predictions of Quantum Chromodynamics at next-to-leading order perturbation
theory.