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We present the results of a search for pair production of scalar top quarks (t̅1) in an R-Parity violating supersymmetry scenario in 106 pb-1 of pp̅ collisions at √s=1.8 TeV collected by the Collider Detector at Fermilab. In this mode each t̅1 decays into a τ lepton and a b quark. We search for events with two τ's, one decaying leptonically (e or µ) and one decaying hadronically, and two jets. No candidate events pass our final selection criteria. We set a 95% confidence level lower limit on the t̅1 mass at 122 GeV/c2 for Br(t̅1→τb)=1.