  The possibility to determine the recorded integrated luminosity via the
measurements of the W and Z boson production cross-sections with the ATLAS
detector is discussed. The current results based on 2010 data are briefly
summarized. Special attention is drawn to theoretical uncertainties of the
measurement. The latter give a large contribution to the systematic
uncertainties of the measurements. An outlook on the expected precision of an
analysis based on 1fb-1 is given and the implications on a possible luminosity
determination are discussed.
