We present an observation of ttbar production in the dilepton
decay channel using the CDF detector at the Fermilab Tevatron Collider.
This measurement was made using approximately 67 pb^-1 of data, 19.3
of which was taken during the 1992-39 data run while the remaining data
has been acquired this past year (94-95).  We observe 6 events in the
ttbar signal region with an expected background of 1.3 plus/minus 0.3 events.
This signal is inconsistent with the background prediction by 2.7 sigma.
Additionally, three of these events contain a total of 5 b-tags - strong
evidence for WWb production.  We measure the ttbar production cross section
in the dilepton channel to be sigma_tt = 10.9^+5.9_-4.5 pb.