A measurement of the cross section of top quark pair production in proton-proton collisions recorded with the ATLAS detector at the Large Hadron Collider at a centre-of-mass energy of 7 TeV is reported. The data sample used corresponds to an integrated luminosity of 2.05 fb(-1). Events with an isolated electron or muon and a tau lePton decaying hadronically are used. In addition, a large missing transverse momentum and two or more energetic jets are required. At least one of the jets must be identified as originating from a b quark. The measured cross section, sigma(t (t) over bar) = 186 +/- 13 (stat.) +/- 20 (syst.) +/- 7 (lumi.) pb, is in good agreement with the Standard Model prediction. (C) 2012 CERN. Published by Elsevier B.V. All rights reserved.