Measurement of the fiducial cross section for ZZ(∗) production in proton proton collisions at a centre-of mass energy of 7 TeV, is presented, using data corresponding to an integrated luminosity of 4.6/fb collected by the ATLAS experiment at the Large Hadron Collider. The cross-section is measured using processes with two Z bosons decaying to electrons or muons or with one Z boson decaying to electrons or muons and a second Z boson decaying to neutrinos. The fiducial region contains dressed leptons in restricted pT and η ranges. The selection has specific requirements for both production processes. A measurement of the normalized fiducial cross-section as a function of ZZ invariant mass, leading Z pT and angle of two leptons coming from the leading Z is also presented for both signal processes.