We present a search for dilepton events from ttbar production with
one electron or muon and one hadronically decaying tau lepton from the decay
ttbar -> (l nu_l)(tau nu_tau)b b-bar, (l = e,mu), using the Collider Detector
at Fermilab.  In a 109 pb^-1 data sample of ppbar collisions at sqrt s = 1.8
TeV we expect approximately 1 signal event and a total background of
approximately 2 events; we observe 4 candidate events (2 e tau and 2 mu tau).
Three of these events have jets identified as b candidates, compared to an
estimated background of 0.28 +/- 0.02 events.