Data collected at centre-of-mass energies of 181-184 GeV by ALEPH at LEP, corresponding to an integrated luminosity of 56.9 pb-1, are analysed in a search for pair-produced charged Higgs bosons H+/-. Three analyses are employed to select the τ+νττ- ν ̄τ, cs ̄τ- ν ̄τ/c ̄sτ+ντ and cs ̄sc ̄ final states. No evidence for a signal is found. Mass limits are set as a function of the branching fraction B(H+-->τ+ντ). Under the assumption that the decay modes considered cover the totality of the possible final states, charged Higgs bosons with masses below 59 GeV/c2 are excluded at 95% C.L. independently of B(H+-->τ+ντ).