We present a search for dilepton events from t¯t production with one electron or muon and one hadronically decaying τ lepton from the decay t¯t→(ℓνℓ)(τντ)b¯b, (ℓ=e,μ), using the Collider Detector at Fermilab. In a 109pb⁻¹ data sample of p¯p collisions at √s=1.8TeV we expect ∼1 signal event and a total background of ∼2 events; we observe 4 candidate events (2eτ and 2μτ). Three of these events have jets identified as b candidates, compared to an estimated background of 0.28±0.02 events.