We have searched for neutrinoless τ lepton decays into one electron or muon and two charged pion or kaon using a 158 fb(-1) data sample collected with the Belle detector at the KEKB e(+) e(-) collider. Since the number of signal candidate events is compatible with the expected background, we set 90% confidence level upper limits on the branching fractions in the range (2.2 - 15.5) x 10(-7) for various decay modes τ → lhh where l and h represent e or μ and π(±) or K-±, respectively.