  We report a measurement of the ttbar production cross section using dilepton
events with jets and missing transverse energy in ppbar collisions at a
center-of-mass energy of 1.96 TeV. Using a 197 +/- 12 pb-1 data sample recorded
by the upgraded Collider Detector at Fermilab, we use two complementary
techniques to select candidate events. We compare the number of observed events
and selected kinematical distributions with the predictions of the Standard
Model and find good agreement. The combined result of the two techniques yields
a ttbar production cross section of 7.0 +2.4/-2.1(stat.) +1.6/-1.1(syst.) +/-
0.4(lum.) pb.
