The ATLAS detector is used to search for excited leptons in the electromagnetic radiative decay channel l{*} -> l gamma. Results are presented based on the analysis of pp collisions at a center-of-mass energy of 7 TeV corresponding to an integrated luminosity of 2.05 fb(-1). No evidence for excited leptons is found, and limits are set on the compositeness scale Lambda as a function of the excited lepton mass m(l{*}). In the special case where Lambda = m(l{*}), excited electron and muon masses below 1.87 TeV and 1.75 TeV are excluded at 95\% C.L., respectively.