This Letter describes a direct search for charged Higgs boson production in ppbar collisions at sqrt s = 1.8 TeV recorded by the Collider Detector at Fermilab. Two-Higgs-double extensions to the standard model predict the existence of charged Higgs bosons (H^+/-). In such models, the branching fraction for top quarks B(t -> H^+b -> tau^+ nu b) can be large. This search uses the hadronic decays of the tau lepton in this channel to significantly extend previous limits on H^+/- production.