The study of the Z boson at the ATLAS experiment provides several interesting aspects. The measurements of cross-section and transverse momentum spectrum (pt) of the Z boson at ATLAS provide additional tests of the standard model and may be sensitive to exotic physics processes. Z boson production is also a common background process for many other physics analysis and must be understood very well. The achievable precision of the cross-section \sigma (pp \rightarrow Z/\gamma \rightarrow \mu + \mu -) with first data of LHC at the ATLAS detector are discussed.
PACS numbers: 13.38.Dg, 14.70.Hp
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